Hybrid Math 7
Ms. Lisa Clark-Burnell
Fall 2026 & Spring 2027
Fall Semester = Monthly Math Meet-Ups + Assigned and fully supported At-Home Practice with plenty of video support. Fall dates: 9/1, 10/6, 11/3, 12/1
Spring Semester = Weekly one afternoon per week; 1.75 hours of in-person instruction for 14 weeks.
Hybrid Math 7 Pathway
FALL SEMESTER -students meet-up monthly for class with Ms. Lisa at Farm School. The other weeks, students complete step-by-step at-home math practice (a.k.a. homework), which is provided by Ms. Lisa. ($225 for six hours of direct instruction and complete 14-week course)
Monthly Math Meet-ups: 9/1, 10/6, 11/3, 12/1 - Ms. Lisa teaches students how to do the “hard” parts of this month’s math work. We play games, take notes, and do practice problems.
At-home practice: after monthly meet-ups, students practice their math at home using the assigned homework. This includes
Homework checklists students check off as they complete work each week. Includes about 40 problems a week or 10 problems 4 nights a week.
Curated linked video library of multiple videos for each homework checklist
Answers and complete worked out solutions for all assigned problems
Loaned Math 7 Textbook, PDF of additional support materials/worksheets.
Parental role is simply to makes sure students are doing their weekly math practice as outlined by Ms. Lisa. EVERYTHING ELSE IS PROVIDED! This is a COMPLETE fall semester math 7 course.
SPRING SEMESTER- we shift into weekly classes with Ms. Lisa at Farm School in addition to at-home math practice (a.k.a. homework). All materials are provided by Ms. Lisa ($550 - 14 week class, 24+ hours of direct instruction.)
After working through 1st semester material at home, students review with Ms. Lisa and get direct instruction each week for all of the second semester material which is where all the “new” and harder math concepts for Math 7 are.
We’ll do a year of Math 7 in one semester. This assumes that students have prepared by doing the first semester of math 7 as outlined above
14-week long spring semester with 1.5 hours of in-person instruction per week
Supply list is below in the green section.
Accelerated Math Pathway for exceptional math students
1st semester - none
2nd semester = Weekly Math 7 class every Thursday with Ms. Lisa at Farm School ($525 - second semester)
Students who are gifted in math may jump into just the second semester of Math 7. This is the ACCLERATED MATH 7 PATHWAY.
We’ll do a year of Math 7 in one semester. Students who skip the first semester of Math 7 and go straight to spring semester. Spring semester has detailed instruction for second semester material and a quick review of the easier first semester material. (Second semester is where the harder and novel math concepts lie. )
Students should be lightening quick at basic arithmetic, solid in all fraction and decimal work, and understand ratios and proportions, and be ready do complete 20-25 homework problems per night instead of 10 to 12.
14-week long spring semester with 1.5 hours of in-person instruction per week
Supply list is below in the green section.
This class is the first of a two-class pre-algebra sequence.
Year 1: Math 7. This first year, we cover all of integrated math 7 which introduces students to much of traditional pre-algebra topics. After this class student are ready for Honors Pre-Algebra + Math 8 here at Farm School. (Yes, we do both math courses in one year as there is a fair amount of overlap and students are well prepared from our Math 7 course to tackle both Pre-algebra and Math 8.)
Year 2: Honors Pre-algebra + Math 8 We master traditional pre-algebra skills at an advanced level as well as introduce a significant number of algebra and geometry concepts. After this second year, students are ready to rock a rigorous Honors Algebra 1 or Integrated Math I.
After these two classes, students are ready for Honors Algebra 1 (which I sometimes offer) or an easier Integrated Math 1 course (which I do not teach).
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Students must have Math 6 material mastered — especially fractions —and be fast at basic mental arithmetic.
Students must be prepared to do 15 to 20 math problems each night 5 days a week.
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FAST MATH FACTS: Work on fast multiplication of “times tables” 1-10.
Work on the list of prerequisite topics in the link above.
Some students like to work through part of the Self-Paced Math 7 course over fall.
Many students find Beast Academy Level 5 especially helpful. This is probably the best elementary math course currently available.
Other students prefer a traditional or common core 6th grade math course.
Note: 6th grade math is mostly a review of 5th grade math. The new concepts in 6th grade math are ratios and proportions. So I sometimes have students who are really good at math skip grade 6 and go straight to this math 7 class. If your child wants to get ahead and rocked 5th grade math, talk to me.
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Students will master all of Common Core Math 7. This is a self-contained class; no additional parental instruction is required.
Detailed course outline is here.
These are all the Math 7 Concepts
Variables & Expressions: use order of operations to simplify variable expressions and combine like terms
Exponent rules: solve 7³ ÷ 7², intro to negative exponents, scientific notation
Factors: Find greatest common factors, least common multiple simplify 21a²/49ab. Explore factoring polynomials with algebra tiles
Fractions review (but students should have a solid grasp of fractions from 4th, 5th and 6th grade math.)
multiply and divide fractions, (it’s also helpful but not critical to be able to clear fractions when solving an equation by multiplying by the reciprocal): -5/48= -5/6+5x/16
add and subtract mixed numbers both like and unlike denominators
Equations: Solve single-variable equations using multiple transformations such as 6x + 2 = 2(3x+1) or (6x +3)/2 = 5x-1.
Introduction to Graphing linear equations, including direct variation as well as relations and functions: what is a function? how to use the vertical line test. What is slope?
Rates, Ratios and Proportions:
write an equivalent rate if a jet flies 540 miles per hour write it’s rate in miles per minute by multiplying by a conversion factor
solve proportions 5/6 = x/18
find the ratio of corresponding side lengths of similar figures, make scale drawings,
Probability & Odds: Theoretical and experimental probability. Use experimental probability to predict probability (If I can make 65% of my free throw shots predict how many shots I’ll make if I take 43 shots over the season?)
Percents
convert fractions to decimals to percents and vice versa
Solve the three basic percent problems: what number is 42% of 93? What percent of 110 is 43? 11 is 22% of what number?
Simple interest problems: Interest = prt, Balance of Account = P + prt. Calculate rate given principal, time and principal.
Geometry:
Perimeter, Area of 2-D and 3-D shapes such as triangles, circles, parallelograms, trapezoids,
Volume of prisms, cylinders, pyramids, cones
Introduction to classifying triangles by angles, side length. Using Pythagorean theorem to solve problems
Introduction to angle relationships: classifying special angle pairs such as vertical angles, complementary & supplementary angles, identify angles formed by a transversal intersection to parallel lines
Polynomials
Add and subtract polynomials: (x² +4x -9) - (4x² - 5x +11)
Multiply monomials and polynomials using the distributive property: 2x(-3x+7)
Data analysis & Statistics: measures of central tendency such as mean, median and mode,
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Students need to do three weeks of math homework as outlined by Ms. Lisa at home, then meet up with Ms. Lisa for instruction once a month.
This requires discipline and probably reminders from a parent to keep a student from procrastinating. Weekly homework needs to be done weekly, NOT crammed in at the end of the month!
Students must have Math 6 material mastered — especially fractions —and be fast at basic mental arithmetic.
Students must be prepared to do 10-12 math problems each night 5 days a week.
-
FAST MATH FACTS: Work on fast multiplication of “times tables” 1-10.
Work on the list of prerequisite topics in the link above.
Many students find Beast Academy Level 5 over summer or the year before especially helpful. This is probably the best elementary math course currently available.
Other students prefer a traditional or common core 6th grade math course.
Note: 6th grade math is mostly a review of 5th grade math. The new concepts in 6th grade math are ratios and proportions. So I sometimes have students who are really good at math skip grade 6 and go straight to this math 7 class. If your child wants to get ahead and rocked 5th grade math, talk to me.
-
Students will master all of Common Core Math 7. This is a self-contained class; no additional parental instruction is required.
Detailed course outline is here.
These are all the Math 7 Concepts
Variables & Expressions: use order of operations to simplify variable expressions and combine like terms
Exponent rules: solve 7³ ÷ 7², intro to negative exponents, scientific notation
Factors: Find greatest common factors, least common multiple simplify 21a²/49ab. Explore factoring polynomials with algebra tiles
Fractions review (but students should have a solid grasp of fractions from 4th, 5th and 6th grade math.)
multiply and divide fractions, (it’s also helpful but not critical to be able to clear fractions when solving an equation by multiplying by the reciprocal): -5/48= -5/6+5x/16
add and subtract mixed numbers both like and unlike denominators
Equations: Solve single-variable equations using multiple transformations such as 6x + 2 = 2(3x+1) or (6x +3)/2 = 5x-1.
Introduction to Graphing linear equations, including direct variation as well as relations and functions: what is a function? how to use the vertical line test. What is slope?
Rates, Ratios and Proportions:
write an equivalent rate if a jet flies 540 miles per hour write it’s rate in miles per minute by multiplying by a conversion factor
solve proportions 5/6 = x/18
find the ratio of corresponding side lengths of similar figures, make scale drawings,
Probability & Odds: Theoretical and experimental probability. Use experimental probability to predict probability (If I can make 65% of my free throw shots predict how many shots I’ll make if I take 43 shots over the season?)
Percents
convert fractions to decimals to percents and vice versa
Solve the three basic percent problems: what number is 42% of 93? What percent of 110 is 43? 11 is 22% of what number?
Simple interest problems: Interest = prt, Balance of Account = P + prt. Calculate rate given principal, time and principal.
Geometry:
Perimeter, Area of 2-D and 3-D shapes such as triangles, circles, parallelograms, trapezoids,
Volume of prisms, cylinders, pyramids, cones
Introduction to classifying triangles by angles, side length. Using Pythagorean theorem to solve problems
Introduction to angle relationships: classifying special angle pairs such as vertical angles, complementary & supplementary angles, identify angles formed by a transversal intersection to parallel lines
Polynomials
Add and subtract polynomials: (x² +4x -9) - (4x² - 5x +11)
Multiply monomials and polynomials using the distributive property: 2x(-3x+7)
Data analysis & Statistics: measures of central tendency such as mean, median and mode,
Pedagogy - How is this class taught?
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Read more HERE
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We use Algebra Lab Gear manipulatives to give students a visual and kinesthetic foundation for understanding algebra.
Students build expressions using variable blocks and base-ten blocks.
This hands-on and visual-geometric foundation enables students to make the leap from concrete to abstract thinking which is at the heart of algebra. This facilitates a deeper conceptual understanding rather than simply a rote memorization of algorithms.
The transition to abstract manipulation of terms in expressions and equations becomes intuitive after using Algebra Tiles.
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Along the way we’ll play math games to pique curiosity, learn to look for patterns, and for the sheer joy of solving a good math puzzle.
I also introduce puzzles to help students become familiar with math vocabulary and to lay a foundation for more complicated problems.
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Preview via games
Some math concepts need time to sink in, so we explore them via games weeks before we dive into that topic fully. This builds prior knowledge so students are familiar with the vocabulary and concepts.
Review problems and curated video library
Students do review problems with most homework sets to help them remember what they’ve learned to keep skills sharp.
We also play review games to keep our math vocabulary and problem solving skills current.
I have a curated library of online videos for at home reinforcement covering most topics so students may watch demonstrations of how to solve similar problems once they get home if they need more reinforcement or they need to watch a slightly different explanation of how to tackle a problem.
Parents students aren’t stuck sifting through dozens of mediocre or partially relevant videos while looking for a good one! I’ve already found the best videos pertaining to our homework sets to save time.
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We make time for students to build friendships. Short brain breaks during class and a lunch recess following class during means time for students to chat and socialize. Having math buddies makes learning more fun.
Pacing, Homework, Grading, Math 7 Standards
This is a self-contained Math 7 class. Parents do not need to supplement their student’s learning. Everything a student needs for Math 7 is taught in this course.
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In this one-semester class, we move at fast pace
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Every student does the basic homework problems. Additionally, I offer challenge problems for students who want to try their hand at more difficult problems.
This challenge problems are called SQUARE problems. They are a bit more complicated or nuanced.
Students get one bonus point in the homework category for tackling square work.
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Homework is a safe place to make mistakes. Making mistakes AND LEARNING FROM THEM is how we grow.
Therefore, Math 7 students get grades on individual HW assignments based upon completion, showing work, correcting errors, not on whether or not they got the problem right.
In fact, students SELF-ASSESS their HW with the instructor checking their self-assessment.
I give students the answers to problems-- they show their work and self-correct including re-attempting problems they missed. Problems they still can’t figure out, we’ll work on in class together.
Students learn how to keep a spreadsheet which records their class grade.
Reinforcing excellent learning habits: Students earn excellent learning habits tickets for homework turned in on time, for keeping an organized notebook for use on tests and other excellent learning habits.
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Detailed course outline is here.
Variables & Expressions: use order of operations to simplify variable expressions and combine like terms
Exponent rules: solve 7³ ÷ 7², intro to negative exponents, scientific notation
Factors: Find greatest common factors, least common multiple simplify 21a²/49ab. Explore factoring polynomials with algebra tiles
Fractions review (but students should have a solid grasp of fractions from 4th, 5th and 6th grade math.)
multiply and divide fractions, (it’s also helpful but not critical to be able to clear fractions when solving an equation by multiplying by the reciprocal): -5/48= -5/6+5x/16
add and subtract mixed numbers both like and unlike denominators
Equations: Solve single-variable equations using multiple transformations such as 6x + 2 = 2(3x+1) or (6x +3)/2 = 5x-1.
Introduction to Graphing linear equations, including direct variation as well as relations and functions: what is a function? how to use the vertical line test. What is slope?
Rates, Ratios and Proportions:
write an equivalent rate if a jet flies 540 miles per hour write it’s rate in miles per minute by multiplying by a conversion factor
solve proportions 5/6 = x/18
find the ratio of corresponding side lengths of similar figures, make scale drawings,
Probability & Odds: Theoretical and experimental probability. Use experimental probability to predict probability (If I can make 65% of my free throw shots predict how many shots I’ll make if I take 43 shots over the season?)
Percents
convert fractions to decimals to percents and vice versa
Solve the three basic percent problems: what number is 42% of 93? What percent of 110 is 43? 11 is 22% of what number?
Simple interest problems: Interest = prt, Balance of Account = P + prt. Calculate rate given principal, time and principal.
Geometry:
Perimeter, Area of 2-D and 3-D shapes such as triangles, circles, parallelograms, trapezoids,
Volume of prisms, cylinders, pyramids, cones
Introduction to classifying triangles by angles, side length. Using Pythagorean theorem to solve problems
Introduction to angle relationships: classifying special angle pairs such as vertical angles, complementary & supplementary angles, identify angles formed by a transversal intersection to parallel lines
Polynomials
Add and subtract polynomials: (x² +4x -9) - (4x² - 5x +11)
Multiply monomials and polynomials using the distributive property: 2x(-3x+7)
Data analysis & Statistics: measures of central tendency such as mean, median and mode,
SUPPLIES
I loan students a textbook. Students print out two pdfs for notetaking and worksheets at home. The rest is standard math supplies. Details below.
TEXTBOOK & Algebra Lab Gear are PROVIDED
I loan a Math 7 textbook to students: Holt McDougal Mathematics Grade 7— However, if you know your kiddo is really hard on textbooks, you may want to buy your own copy for $15-20; readily available online.
PERSONAL SUPPLIES STUDENTS SHOULD BRING EACH WEEK
#1
Print this out: K.I.N. Know-it-Notebook for in-class notetaking. See PDF below.
This notebook makes in-class notetaking considerably faster, especially for younger students, and often more legible and thus useful as a study tool.
This 2011 consumable notebook is now out of print so I have a PDF of it available: pages 1-60 and 60 to 120, 120 to end.
(If you can find a copy of it this is what you’re looking for: Grade 7 Know-it-Notebook (We used to be able to find it for $20 Purchase HERE) ISBN 0547687850 or 13 digit ISBN ISBN 978-0-547-68785-8 )
#2
Print this out: H.W.P.W. Homework & Practice Workbook for classwork review
This notebook helps students review concepts through the year.
This 2011 consumable notebook is now out of print so I have a PDF of it available below in sections. You can print it out all at the beginning of the semester (we occasionally do pages out of order). Or wait to see what pages I assign each week.
(If you can find a new copy of it from used sellers, this is what you’re looking for: Holt McDougal Grade 7 Mathematics Homework and Practice Workbook Purchase HERE -sometimes available for $8) What students don’t finish in class will be homework.
The rest of this list is traditional math supplies.
#4 Three-ring binder with at least one pocket and four tabs labelled
Pocket is for HW to be turned in
K.I.N. Know it Notebook pages
OLD HW & Handouts “Bluey” Homework and work pages (lined paper to show steps if there isn’t room on the Bluey page which there often is not)
OLD Quizzes/Tests
Paper (lined and graph)
#5 Small spiral notebook for IMPS Important Math Principles which are definitions, formulas etc & video notes
#6 Lined paper (wide ruled is best) & graph paper for doing HW
#7 Calculator Casio fx-300ESPLS2 or TI-30xIIS are good models for under $15.
#8. Good pencils & erasers, plus colored pencils or pens for annotation and correcting work, (sticky notes are handy but not required)
#9. Protractor (transparent), drawing compass, & ruler
Buy a protractor. Don’t rent a set from a charter school as those rented ones are worthless. A good protractor is a transparent semi circle and has a swing arm. They are about 5$ and students will use it through geometry.
Optional Recommended App
Kahoot Algebra by DragonBox (previously named DragonBox 5) or Kahoot Algebra 2 (previously DragonBox 12 -possibly with some actual algebra 2 content.)