Math 7 SUPPORT
Chapter by Chapter Resources to Help You Succeed
Worked out step-by-step solutions for each problem & multiple videos for every section
Chapter 1 - Algebraic Reasoning
Order of operations, properties, variables, from words to math symbols, simplifying expressions
Full PLAYLIST for videos corresponding to each section in our textbook: Chp 1 Algebraic Reasoning here.
CHAPTER 1 WORKED OUT SOLUTIONS FROM TEXTBOOK
Only use the worked-out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
COPIES OF IN BONUS HANDOUTS AND ANSWER KEY are below. — These are not assigned for 2026. But we may use them as warm ups.
HW Handouts for week 1 & 2 (in case you misplaced them) that are NOT BLUEY are HERE
Additional resource videos for each section are below.
Chp 1.1—Order of Operations PEMDAS (resources for Bluey pg #1)
a) Grouping Symbols by Math with Mr. J:
b) Grouping symbols and order of operations (5 min.) by Math Fortress
c) PEMDAS/GEMDAS 10 MINUTE Math Antics video on order of operations
d) She calls it GEMDAS (Grouping symbols instead of parentheses) https://www.youtube.com/watch?v=kQp1ZpvBVVo
Chp 1.2 – Properties of Numbers, including distributive property of multiplication (Bluey #2)
a) Commutative Property of Addition with Richard of AoPs
b) Associative property of addition with Richard of AoPs
c) How to use these super powers (associative and commutative properties of addition) to make hard problems easier! Richard of AoPs adds 1 + 2 + 3…. + 98 + 99 + 100 quickly.
Chp 1.3— Variables and Algebraic Expression (Bluey# 3)
a) Math Antics What is Algebra?
Chp 1.4– Translating words to math expressions (Bluey #4)
a) Translating words into math expressions : Math Mash UP
b) More translating words into math : Organic Chemistry Tutor
c) Writing algebraic expression with Mr. J
Chp 1.5 Simplifying by combining like terms (Bluey #5)
Chp 1.5 TEXTBOOK even answers pg 28-29 HERE
a) Combining like terms - Math Antics
b) Simplifying Expressions by Combining Like Terms | Math with Mr. J
c) “Kwakuls” video: Using algebra tiles to combine like terms
d) Combining like terms with algebra tiles (there y’s are purple and constants are gray, but that’s fine)
Preview: Perfect Squares
a) Basic 3 minute video “Square Numbers Explained” by Minity Math
b) More advanced 6-minute video: What is a Perfect Squares and a Square Root? by MathMashUp
c) “Perfect Squares” by Simplify the Middle 4 minutes
Preview: Positive and Negative Integers
Positive and Negative Integers - with Math Antics
Model Adding + & - Integers: Using Rules & Integer Chips or Algebra Tiles (she calls our yellow constant algebra tiles “integer chips”) Magic of Math
Chapter 2 - Integers and Rational Numbers
Positive and Negative Numbers, equivalent fractions and simple equations
Full PLAYLIST for videos corresponding to each section in our textbook: Chp 2 Integers & Rational Numbers
Chp 2 Worked out Textbook Solutions for all problems in the text book
Remember use these only after you tried to figure out missed problems on your own. These are for when you are stumped! Do use these to help you figure out where your mistakes in your steps are so you know HOW to do problems that you are stuck on
COPIES OF IN CLASS HANDOUTS AND ANSWER KEY are below.
Chp 2 of M7 Resource Book for Weeks 3, 4, 7
Additional Answer keys, class handouts & some completed K.I.N. notetaking forms
Same Sign Sum, and Different Sign Difference. - class handout on how to ADD positive and negative integers
CHP 2 PRACTICE TEST PG 93 MULTIPLES OF THREE: 3) 11, 6) 1, 9) 18, 12) -3, 15) 10, 18) 21, 24) 0.06, 27) 1/250, 30) > greater than 33) -0.4, 1/4, 0.5 36) 7 1/3, 7.4, 7.5
KIN Chp 2 Review pg. 34-35 (KIN = Know it Notes — our guided note taking forms)
Additional resource videos for each section are below.
Chp 2.1 Integers (Additive Inverse/Opposites & Absolute Value ) - Bluey #6
a) Absolute Value - Math Antics.
b) Positive and Negative Integers - with Math Antics
Chp 2.2 Adding Positive and Negative Integers - Bluey #7
a) Model Adding + & - Integers: Using Rules & Integer Chips or Algebra Tiles (she calls our yellow constant algebra tiles “integer chips” Magic of Math & https://www.youtube.com/watch?v=fAUZfB0qFUc Ms. Ernst
b) Adding and Subtracting Positive and Negative Integers by Moo Moo Math and Science
c) Adding Positive and Negative integers using a number line Math with Mr. J
d) Math Antics: Adding and Subtracting + and - Integers 11 minutes
e) How to Add Positive and Negative Integers Math with Mr. J 7minutes
Chp 2.3 Subtracting Positive and Negative Integers - Bluey #8
a) Subtracting + & - Integers using rules and modeling with algebra tiles (constants are integer chips are tiles) from the Magic of Math (20 minutes but really good).
b) Keep, Change, Change: mnemonic device/song to remember that subtraction is adding the opposite or “keep, change, change to opposite” silly math song AND SMATO Subtraction Means Adding the Opposite
c) Subtracting Positive and Negative Integers using a number line with Mr. J
d) Subtractions with negatives Part 1 by AoPs with Richard R
e) Subtractions with negative Part 2 by Aops with Richard R
f) Subtracting Positive and Negative Integers with Mr. J
Chp 2.4 Multiplying and dividing Positive and Negative Integers - Bluey #9
a) Multiplying and Dividing + & - Integers with Mr. J
b) Mario https://www.youtube.com/watch?v=jRvk7dHBF2w
c) Review of all four operations with + and - integers with Mario
d) PENTAGON LEVEL VIDEO: Why is division is multiplying by a reciprocal? This is why video— a bit like a proof: Why is dividing the same as multiplying by a reciprocal? from Mathispower
e) Do you need a basic refresher on long division? Try the hangman method.
Chp 2.5 Solving Equations Containing Integers - Bluey #10
a) Solving Basic Equations Part 1 - with just addition or subtraction Math Antics
b) Solving Basic Equations Part 2 - with just multiplication and division Math Antics
c) Linear Equations Part 1 by AoPs — just addition or subtraction with Richard
d) Linear Equations Part 2 by Aops - just multiplication and division with Richard
e) Solving One Step Equations with Mr. J
f) USING ALGEBRA TILES TO SOLVE EQUATIONS - making zero pairs
Chp 2.6 Equivalent Fractions and Decimals, Rounding - Bluey #11
a) https://www.youtube.com/watch?v=P056eG02WiM MooMooMath and Science
b) Math Antics https://www.youtube.com/watch?v=kmVfZ9o-2gg
c) Online game Equivalent ratios - space invaders equivalent ratio game from MathGameTime.com
Chp 2.7 Ordering Fractions and Decimals - Bluey # 12
a) AoPs Comparing Fractions Part 1
b) AoPs Comparing Fractions Part 2
Preview: From words to equations & Coordinate Plane
a) Words to equations with Mario Translating Sentences into Equations - YouTube 2 minutes
b) Translating words to equations with Mash up Math TRANSLATING WORDS INTO ALGEBRAIC EXPRESSIONS! -8 minutes
c) Graphing on a Coordinate Plane Math Antics Video about Graphing on a Coordinate Plane
Chapter 3 - Applying Rational Numbers (Fractions, Decimals, 1-step Equations)
Decimals, operations with fractions including unlike denominators, solving 1-step equations
Full video PLAYLIST Chp 3 Applying Rational Numbers
Answer keys for textbook & completed K.I.N. notetaking forms
Chp 3 Textbook problems with all worked out solutions - you may only use these to a) look for answers to even problems that aren’t in the back of the textbook and b) figure out where the error in your steps is AFTER you’ve tried to figure out how to do the problems a few times. DO NOT JUST COPY STEPS/ANSWERS. THAT LEAVES YOU IGNORANT and you’ll fail the assessments. Use these to help you learn, not to cheat.
Chp 3.2-3.3 KIN pg 41-44 - notes and Check It Out —Multiplying and Dividing Decimals -corresponds to Bluey pg 14 -15
Chp 3.4 KIN pg 45-47 chp 3.4 - notes and Check It Out — Solving One-Step Equations with Decimals - corresponds to Bluey pg 16
Additional resource videos for each section are below.
Chp 3.1 Adding & Subtracting Decimals - Bluey# 13
a) Adding and Subtracting Decimals (How to) | Math with Mr. J
Chp 3.2 Multiplying Decimals - Bluey pg # 14
a) Math with Mr. J Multiplying Decimals by a decimal
Chp 3.3 Dividing decimals - Bluey pg # 15
a) Moo Moo Math How to Divide Decimals
c) all four operations with decimals with Mr. J
Chp 3.1-3.4 Summary: all operations with decimals by Math Antics and here:
Multiplying Decimals (Bluey # 14 -3.2) Video Math with Mr. J Multiplying Decimals by a decimal
Dividing decimals (Bluey# 15 -3.3) Video Moo Moo Math How to Divide Decimals OR Mr. J Dividing Decimals
Adding and subtracting Decimals: Video Adding and Subtracting Decimals (How to) | Math with Mr. J
Solving Equations with Decimals (Bluey# 16 -3.4)Video options: Moo Moo Math and Science 1-Step Equations with Decimals (hint it’s EXACTLY the same as without decimals)
Chp 3.5 Fractions with Unlike Denominators - Bluey #17
a) Fractions with the Same Denominator from AoPs
b) Adding fractions with different denominators from AoPs
c) Easiest Common Denominator - Math Antics
d) Lowest Common Denominator - Math Antics
Chp 3.6 Multiplying fractions and mixed numbers
a) basic multiplying fractions - Math Antics
b) multiplying mixed numbers (convert to improper fractions first — see videos below) — Math Antics
Chp 3.7 Dividing Fractions and Mixed Numbers - division is just multiplying by the reciprocal
a) Division is multiplying by the reciprocal - Math Antics
Chp 3.8 Solving Equations with Fractions
a) One step equations with fractions -by Math is Simple
b) One step equations with a mixed number - Brian Logan
c) Fraction word problems - With Mr. J
Chp 3.6-3.8 Summary of Chp 3.6-3.8 Fractions and one-step Equations - 10 videos by Math is Simple
More fraction work —— improper fractions and mixed numbers
Chapter 4 - Proportional Relationships
Full PLAYLIST for videos corresponding to each section in our textbook: Chp 4 Proportional Relationships
COPIES OF CLASS HOMEWORK HANDOUTS AND ANSWERS ARE BELOW
ANSWER KEYS FOR TEXTBOOK AND COMPLETED K.I.N.S
CHP 4 TEXTBOOK PROBLEMS - WORKED OUT SOLUTIONS FOR ALL PROBLEMS.
use the worked out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Chp 4.4 KIN completed Similar Figures
Chp 4.5 KIN completed Using similar figures to find missing lengths
Chp 4.6 KIN completed Scale Drawings
Additional resource videos for each section are below.
Chp 4.1 UNIT RATES
a) Rates and Ratios Math Antics video: https://www.youtube.com/watch?v=RQ2nYUBVvqI
b) Unit Rates | Solving Unit Rate Problems - Link fixed 1/15 4:25 Monday Math with Mr. J
c) Solving Unit Rate Word Problems | Math with Mr. J
Chp 4.2 IS IT PROPORTIONAL AND FINDING EQUIVALENT RATES? - Bluey #22
a) To find an equivalent ratio, multiply the ratio by a stategic one, such as 3/3 or 5/5. (This doesn’t change the value since you’re multiplying by one!) Here’s a video on how to do that if you need a reminder: How to Find Equivalent Ratios with Mr. J
b) Online game Equivalent ratios - space invaders equivalent ratio game from MathGameTime.com
Chp 4.3 - Solving Proportions Using Cross Products (Butterfly Method) - Bluey# 23
a) Magic of Math Proportions and using cross products
b) Moo Moo Math and Science: https://www.youtube.com/watch?v=y1sw5dhGobE
c) Solving Proportions with Mr. J
d) Summary of 3 methods of solving proportions with Mario
e) Proportion word problems with Moo Moo Math and Science
Chp 4.4 ARE THE FIGURES SIMILAR? - Bluey# 24
a) Similar Figures by Magic of Math
Chp 4.5 FINDING MISSING LENGTHS IN SIMILAR FIGURES - Bluey# 25
a) Missing lengths in similar figures by Bolich Math
b) Short missing lengths in similar figures video
c) Similar figures and missing lengths Longer video from Math and Science 15 minutes
Chp 4.5: Some solutions Bluey #25 Using proportions in similar figures to find missing sides — Here are some solutions: problems 5, 6, 8 and with all the steps and explanations shown
Chp 4.6 SCALE DRAWINGS - Bluey #26
a) how to find a scale factor on similar polygons with Mario
b) Same topic from Moo Moo Math and science: scale factor
Chp 4.4-4.6 Ready to Go On Quiz with answers
Preview: Coordinate Plane & Graphing Lines
a) (We watched this a few chapters ago - so it should be very familar) Graphing on a Coordinate Plane Math Antics Video about Graphing on a Coordinate Plane
b) Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x or )
Chapter 5 - Graphs and Linear Equations
coordinate plane, interpreting graphs, slope of a line, direct variation
Full video PLAYLIST for Chp 5 Graphs is HERE
Additional resource videos for each section are below.
CHP 5 TEXTBOOK PROBLEMS - WORKED OUT SOLUTIONS FOR ALL PROBLEMS.
use the worked out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Answer keys
Chp Study Review & Answers — study guide is after the 5.1 section
Chp 5.1 Graphs: The Coordinate Plane -See the video in the full playlist above
Chp 5.2 INTERPRETING GRAPHS - See the video in the full playlist above
Chp 5.3 WHAT IS SLOPE? (slope = RISE / RUN or change in y over change in x)
a) What is slope and how to calculate it. AoPs
b) Equation of a line, slope intercept form, functions, perpendicular lines & horizontal lines Math Antics Basics of Linear Functions
c) Richard of AoPs walks us through positive and negative slopes, slope of a horizontal line is zero (y=some number), vertical line has an undefined slope, steepness of slope, what does a line with a slope of 1 look like? (10 minutes)
d) Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x or )
e) DESMOS - GRAPHING CALCULATOR EXPERIMENTATION
Experiment with a graphing calculator online: go to https://www.desmos.com/calculator .
Type in these equations of a line: y = 2 and y = -3, what kinds of lines are these? Write down the answer
Now also on Desmos, make a graphs of the line x =2, and x = -3. What kinds of lines are these?
Type in an equation in the form y=mx+b. (here’s an example y = 3x + 1) Try different numbers for m. Then try different numbers for b. What happens? How do you make the line steeper? How do you make it shallower? How do you shift it up and down?
Chp 5.4 DIRECT VARIATION
Direct Variation y=kx straight line through the origin (this is also in Math 8 chp 8.5, Algebra 1 chp 8.9)
a) Direct Variation by Victoria Miles 11 minutes
b) Direct Variation intro with Organic Chemistry Tutor
C) Direct Variation - lots of sample problems by Prof. Rob Bob (Active learners learn the most so take notes and pause the video and do the other problems with him.)
D) SQUARE LEVEL Direct variation word problems with Joann
E) PENTAGON LEVEL Algebra video on direct variation and constant of variation with Joann
F) PENTAGON LEVEL Word problems direct variation -Video with Joann
G) PENTAGON: Watch Direct variation word problem example with Mario Direct Variation Word Problem Example - YouTube
ADVANCED BONUS MATERIAL for those who are curious
Is a relation a function? Four ways to determine if an equation or set of ordered pairs represents a FUNCTION here
Magic of Math Is this a Function or just some other relation?
Horizontal & vertical line slopes: Mario’s Math Tutoring on equation of the horizontal and vertical lines
Parallel and Perpendicular lines: what’s the relationship between the slopes of these lines? Prof Rob
McD 8.2 Does a given ordered pair represent a solution to this linear equation? (Math 8 Section 2.1) Is a given ordered pair a solution of a linear equation?
McD 8.3 & 8.4 Slope of a line & Slope-intercept form y=mx + b
How to graph a line when you have an equation in y = mx + b or slope-intercept form.
AoPs positive and negative slopes, slope of a horizontal line is zero (y=some number), vertical line has an undefined slope, steepness of slope, what does a line with a slope of 1 look like? (10 minutes)
Intercepts: Joann explains how to find x & y intercepts visually and 3 minute video on Intercepts with Prof. Rob
Chapter 6 - Percents
converting fractions and decimals to percents, estimating percents (mental math), clearing fractions and decimals in equations, basic percent problems, percent of change (increase or decrease), simple interest
Full PLAYLIST for each chp 6 section of our textbook on percents - watch these first
Additional resource videos for each section are below.
CHP 6 TEXTBOOK PROBLEMS - WORKED OUT SOLUTIONS FOR ALL PROBLEMS.
use the worked out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Answer keys
Chp 6.6 Simple Interest examples and 1 page of problems + Real World Connections (Corn!) pg 254-61
Chp 6 Study Review and Answers pg 264-6
Chp 6.1 Converting between Fractions, Decimals, and Percents
a) Professor Dave Explains how to convert between fractions, decimals and percents
b) Converting fractions to percents and vice versa Introduction to percent with Richard from AoPs
Chp 6.2 Estimating with percents & mental math
a) Review how to calculate simple percentages in your head with Mario
Chp 6.3 Using (distributive) property with Rational Numbers (ie fractions and percents) including Clearing Fractions and decimals
a) Solving equations with multiple steps and fractions with Mario.
b) video on clearing fractions and decimals
Percent Problem Basics:
a) There are three basic types of percent problems (take notes!): watch Richard of AoPs review how to solve these three basic problems.
What is this percent of that? Example What is 30% of 120?
What percent of this is that? What percent is 88 of 33?
This is that percent of what number? 42 is 150% of what number?
b) Excellent Dr. Dan summary on how to use proportions and percents in word problems Dr. Dan video #51
Chp 6.4 Percent of Change which is also known as percent of increase or decrease (Combat on Orge Alley is the memory trick some students like)
a) Math Antics Percent Change video
b) PENTAGON Art of Problem Solving Percent Change or Increase or Decrease video part 1
Chp 6.5 Percent Applications— sales tax and commissions
a) Calculating sales tax (with calculator) Mr. J
b) Calculating sales tax without a calculator Mr. J
c) Calculating taxes, tip, discounts and markups all in one video from Magic of Math using percent change (a.k.a. percent increase or decrease)
Chp 6.6 Simple Interest
a) Simple Interest: Interest = prt video by Mario on simple interest
PENTAGON BONUS— THESE are Honors Pre-algebra/Math 8
Preview: MEAN, MEDIAN, MODE, AND RANGE & Stem and Leaf Plots
a) Math with Mr. J playlist Mean, Median, Mode, Range
b) Stem and Leaf Plots review 3 minute video by MySecretMathTutor OR Stem and leaf plot video -3 minutes by Moo Moo Math and Science
c) Theoretical and Experimental Probability Math Antics Probability
d) Preview of 7th grade math probability concepts all in one video from Magic of Math
The Counting Principle
a) Support Video on the Counting Principle from Front Porch Math
b) Optional Video if you need more examples: Counting Principle from Mario Math Tutoring
Chapter 7 - Collecting, Displaying, and Analyzing Data
frequency tables, histograms, stem and leaf plots, box and whisker plots, random and biased samples
Full video PLAYLIST for Chp 7 DATA
Additional resource videos for each section are below.
CHP 7 Worked out solutions from the TEXTBOOK
Use these after you’ve tried to correct your own mistakes and you are stumped OR to find even answers to problems since those aren’t in the back of the textbook.
Answer keys
Chp 7 Ready to Go On Quizzes, Labs, and Study Guide Review Answers
Practice Chapter 7 Test Answers
7.2 Evens 2) airplane A., 4) airplane A., 6) city A, 8) city B 10) the interquartile range increases
Preview: MEAN, MEDIAN, MODE, AND RANGE, Stem and Leaf Plots, Probability
a) Math with Mr. J playlist Mean, Median, Mode, Range
b) Stem and Leaf Plots review 3 minute video by MySecretMathTutor OR Stem and leaf plot video -3 minutes by Moo Moo Math and Science, more advanced stem and leaf plot 13 minute video
c) Theoretical and Experimental Probability Math Antics Probability
d) Preview of 7th grade math probability concepts all in one video from Magic of Math
Chp 7.1 Mean Median Mode Range
a) Frequency Tables - Understand Frequency Tables, Cumulative & Relative Frequency in Statistics by Math and Science
b) Histograms - How to make a histogram from a frequency table Organic Chem Tutor
Chp 7.2 Box and Whisker plots
a) Explanation of how to read AND interpret Box and Whisker Plots with Mr. J & Analyzing Box and Whisker Plots — why use them? 6 minutes with Melissa Lee
b) How to make a box and whisker plot with Math Mashup & How to make a box and whisker plot with Mr. J
c) Simple video on How to make a Box and Whisker Plot without worrying about outliers in data set 3 minutes OR a more technical version of how to make a box and whisker plot (Organic Chemistry Tutor) 13 minutes— this one is complicated because he shows you how to calculate if any numbers are technically outliers. This is beyond what you’ll need to know how to do in math 7 or even prealgebra, but it’s still cool to see the details of how to do it.
d) Last week’s preview video: video of box and whisker plots
e) Video 7.2 from Full video PLAYLIST for Chp 7 DATA
f). Overview: Box and Whisker Plot by Mash Up Math: how to construct a box and whisker plot using a table of data AND how to analyze the box and whisker plot
Chp 7.3 Populations and Samples
a) Video 7.3 from Full video PLAYLIST for Chp 7 DATA
b) Different types of Random Samples - JoAnn’s School-
c) Random, Systematic and Convenience Samples - JoAnn’s School
d) More advanced/bonus video: What Are The Types Of Sampling Techniques In Statistics - Random, Stratified, Cluster, Systematic by What’s up Dude
ADDITIONAL SUPPORT MATERIAL FROM PRE-ALGEGRA McD 11.5 Interpreting Data - making predictions
A) Making Predictions about Populations using random samples — Moo Moo Math and Science
B) Making predictions from our experimental probability (JoAnn’s school) - this one has a review of all definitions
C) Making predictions using ratios - Moo Moo Math and Science
Chapter 8 - Geometric Figures
points, angles, lines, congruence
Full PLAYLIST for each chp 8 section of our textbook on percents - watch these first
Additional resource videos for each section are below.
CHAPTER 8 WORKED OUT SOLUTIONS FROM TEXTBOOK
Only use the worked-out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Answer keys
Additional videos are below
8.1 Building Blocks of Geometry: points, lines, line segments, rays, planes, congruence
a) Points, Lines, Planes - Math Antics
b) Lines, rays, angles - Nerd Study
8.2 Classifying Angles (acute, right, obtuse, straight, complementary and supplementary)
a) Angle Basics - Math Antics (right, acute, obtuse, straight, complementary, supplementary)
b) Angles & Degrees: how to measure angles - Math Antics - includes how to use your protractor to measure an angle
c) Angles - Professor Dave
8.3 Linea and Angle Relationships: parallel lines, transversals, corresponding angles, vertical angles, supplementary angles, perpendicular lines
a) Line and Angle Relationships video -
b) Angles - corresponding angles, vertical, alternate interior, alternate exterior, finding missing angles (angle chasing) Professor Dave
Hands on Lab: Construct Bisectors and Congruent Angles
a) How to use a Compass - Mario’s Math Tutoring
b) Angle Bisector How to Construct Using Compass (Geometry) - Mario’s math tutoring
c) How to copy an angle or make a congruent angle (first 3 minutes only) - Mario’s math tutoring
8.4 Sum of interior angles
b) Polygons - Math Antics
c) Triangles - Math Antics — classifying triangles
d) Quadrilaterals - Math Antics
Chapter 9 - Measurement and Geometry
Perimeter, Circumference, Area, Volume and Surface Area
Full video PLAYLIST for each section of Chp 9
CHAPTER 9 WORKED OUT SOLUTIONS FROM TEXTBOOK
Only use the worked-out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Answer keys Chp 9 Ready to Go On Quizzes, Labs, Extensions, and Study Guide Review Answers
Additional resource videos for each section are below.
Chp 9.1 Perimeter and Circumference
a) What is the ratio that Pi represents? Math Antics: What is Pi? and this 2 minute video Best Explanation of Pi from Mathematicsonline
b) Math Antics Circumference of a Circle formula Memorize these simple formulas. Remember, if you’re given the diameter, you need to use half of the diameter to get the radius and use the RADIUS in the formula.
c) History of Math fun: how we discovered Pi “A Brief History of Pi” by Simon Clark
Chp 9.2 Area of a Circle
a) Why is the area of a circle = Πr² by Mathematicsonline
b) Area of a Circle – Math Antics Memorize these simple formulas. Remember, if you’re given the diameter, you need to use half of the diameter to get the radius and use the RADIUS in the formula.
Chp 9.3 Area of Irregular Figures & Composite Figures
a) From the playlist Area of irregular and composite figures (using our textbook) from ssgurgs9
b) Area of composite figures (and perimeter) with Mr. J
Chp 9.4 Introduction to Three-dimensional (3-D) Figures— these are the shapes in YOUR real life world
a) volume video from Math Antics
Chp 9.5 Volume: Prisms and Cylinders
a) video on volume from Math Antics
b) Math 8 Volume: Prisms and Cylinders
c) Volume of Rectangular Prism - Math Mashup
d) Volume of Prisms and Cylinders - Math Antics
Chp 9.6 Surface Area — NEEDS A PRISM SURFACE AREA VIDEO
a) Volume and Surface Are of Cylinders - Math Mashup
Chapter 10 - Probability
basic probability P(event) = # desired outcomes/ # possible outcomes PREVIEW
Full PLAYLIST for each chp 10 section of our textbook on probability - watch these first
Additional resource videos for each section are below.
Answer keys
CHAPTER 10 WORKED OUT SOLUTIONS FROM TEXTBOOK
Only use the worked-out solutions only after you have tried unsuccessfully to figure out where your error in your steps is. Finding and correcting your own errors is powerful. If you can’t figure it out, go ahead and look at the solutions above. Note: CHEATING BY SIMPLY WRITING DOWN THE STEPS ONLY LEAVES YOU IGNORANT and that will show up on the assessments when you can’t do the problems.
Chp 10 Ready to Go On Quizzes and Study Guide Review Answers
10.6 Evens #10 = 1/7
Additional videos are below
10.1 Basic Probability: experiments, outcomes, likely, unlikely impossible, certain, complements
B) Theoretical and Experimental Probability Math Antics Probability
D) see video 10.1 from Full PLAYLIST for each chp 10 section of our textbook on probability
10.2 Experimental Probability
a) see video 10.2 from Full PLAYLIST for each chp 10 section of our textbook on probability
10.3 Sample Spaces - tree diagram and fundamental counting principle
A) Fundamental Counting Principle from Front Porch Math (tree diagrams and a faster method) or Moo Moo Math and Science Tree diagram
B) Magic of Math Compound events using tree diagrams and fundamental counting principle & Moo Moo Math Compound Events Tree diagram Moo Moo Math https://www.youtube.com/watch?v=yxJi5vuO_wU
C) Kevin Dorey video https://www.youtube.com/watch?v=Iybt-PMPfQ0
D) see video 10.3 from Full PLAYLIST for each chp 10 section of our textbook on probability
10.4 Theoretical Probability
A) Theoretical and Experimental Probability Math Antics Probability
B) Review of all grade 7 probability concepts in one video from Magic of Math
c) see video 10.4 from Full PLAYLIST for each chp 10 section of our textbook on probability
10.5 Making Predictions
a) see video 10.5 from Full PLAYLIST for each chp 10 section of our textbook on probability
b) Using Experimental data (probability) to make predictions - JoAnn’s math school part a. Here’s part b
c) What’s the difference between experimental and theoretical probability? Mario Math Tutor
10.6 Probability of Independent and Dependent Events
a) see video 10.6 from Full PLAYLIST for each chp 10 section of our textbook on probability
10.7 Combinations
a) see video 10.7 from Full PLAYLIST for each chp 10 section of our textbook on probability
b) an advanced way/faster way to solve these problems - using the combinations formula from Mario’s Math tutoring
10.8 Permutations
a) see video 10.8 from Full PLAYLIST for each chp 10 section of our textbook on probability
b) an advanced way/faster way to solve these problems - using the combinations formula from Mario’s Math tutoring
10.9 Probability of Compound Events
a) see video 10.9 from Full PLAYLIST for each chp 10 section of our textbook on probability
b) video by Magic of Math reviews all of probability for Math 7 in 14 minutes. Up to minute 8 it is review. After that point there is new material.
Chapter 11 - Multi-step equations and inequalities
Full video PLAYLIST for each section of Chp 11
CHP 11 WORKED-OUT SOLUTIONS FOR ALL TEXTBOOK PROBLEMS.
Additional (redundant) Answer keys
Chp 11 Ready to Go on Quiz and Study Guide Answers
Chp 11 Practice Test Questions and Answers
Additional resource videos for each section are below.
11.1 Solving two-step equations - basic
a) Solving two step equations by Magic of Math
c) A different way to think about 2 step equations: “tape diagrams”
11.2 Solving multiple-step equations—combining like terms & distributive property pg. 472-473
a) Solving Equations by combining like terms by Magic of Math
b) Solving Equations with Distributive property by Math is Simple
11.3 Multi-step equations with clearing fractions & variables on both sides pages 476-477
a) Solving Equations with Fractions by clearing fractions with Mario Math Tutor
b) Solving Equations with Decimals by clearing the decimals with Mario Math Tutor
c) Clearing Fractions from equations with Brian McLogan
d)PENTAGON LEVEL More advanced version of solving linear equations with fractions part 1 with Richard from AoPs (includes clearing fractions method)
11.4 Graphing inequalities
a) review of how to graph inequalities on the number line, here’s a 3 minute video from Moo Moo Math and Science
11.5 Intro to solving Inequalities with addition and subtraction
a) One Step Equalities with only Addition & Subtraction with Mr. J
b) Art of Problem Solving Pre-algebra Chp 5.5 Basics of Inequalities Part 1
c) Art of Problem Solving Pre-algebra Chp 5.5 Basics of Inequalities Part 2
d) Art of Problem Solving Pre-algebra Chp 5.5 Solving Linear Equalities
e) Art of Problem Solving Pre-algebra Chp 5.5. Solving Linear Equalities Word Problem
11.6 Solving Inequalities by multiplying or dividing
a) Explanation of why we flip the inequality symbol when multiplying or dividing by a negative by Mr. J
b) Mr. J “Multiplication or Division Inequalities One -step”
c) Video demonstrating how to solve multi-step inequalities from The Magic of Math
d) real-world inequality problem with this Magic of Math short video.
11.7 Solving Multi-step Inequalities
BONUS - EXPONENTS
ALL EXPONENT RULES - Math Mashup-Exponent Rules playlist
Rules of Exponents
Laws of Exponents from Math Antics: https://www.youtube.com/watch?v=LkhPRz7Hocg Write these rules down
Division and Exponents— simple video on dividing with variables https://www.youtube.com/watch?v=_DQ7vs5tdUQ
Negative and Zero Exponents
Math Antics video explains patterns: x to 0 power is? and how to “undo” exponents and roots https://www.youtube.com/watch?v=S3IEeCyUWWA
AoPs What does 3 to the zero power mean? “Zero as an Exponent”
AoPs “Negative exponents Introduction”
Scientific Notation
Scientific Notation What is it? Math Magic video: https://www.youtube.com/watch?v=7Mi3cZwixIA&list=PLIa7w81Zp_7wQivt4auzylmrZUlE7UrE2&index=28
Scientific Notation - how to add, subtract, multiply and divide in scientific notation Math Magic “How to Perform Operations in Scientific Notation . . . How to Add, Subtract, Multpliy & Divide”
BONUS Pythagorean Theorem
Pythagorean Theorem Math Antics