Math 7 Extras 

Spring Semester Classwork Content Summary

Week 15 Classwork Content Summary

  • Review of how to model solving 1 step equations with algebra tiles. Intro to solving two-step equations (reverse PEMDAS — SADMEP) Chp 11.2.

  • Vocabulary review of chp 4 - rates and proportions

  • Introduction to coordinate planes (chp 5.1)

Fall Semester

Week 12 Classwork Content Summary

  • Ratio and proportions

  • Finding missing lengths of proportional (similar) figures using proportions — found height of tree using shadows of a human and the tree.

  • PEMDAS - estimating Ursula’s weight using formula

Week 10-11 Classwork Content Summary

  • Chp 8.5 Congruent figures vs. similar figures, triangle side-side-side rule

  • Ratio and proportions

  • Introduction to probability: likely vs. unlikely, complements, theoretical probability

  • Fraction review

  • One-step equations with fractions

Fall Semester

Week 8-9 Classwork Content Summary

  • Chp 8 Angles: Parallel Lines, transversals, Angles in Polygons

  • Chp 3.4 Solving Equations with Decimals

  • Chp 3.6 Multiplying Fractions and Mixed Numbers

  • Chp 3.7 Dividing fractions and mixed numbers (Division is multiplying by a reciprocal

  • Chp 3.8 One-Step Equations with Fractions

  • Preview of Pythagorean Theorem

  • Preview of y=mx +b equation of a line

Week 6-7 Classwork Content Summary

  • Solving one-step equations with decimals (all the same rules apply!)

  • Solving two-step equations with algebra tiles using operations and zero pairs

  • How to do long division with decimals (chp 2.8)

  • How to compare fractions and decimals (usually easiest to convert everything to a decimal (chp 2.7)

  • Review: Order of Operations with SMATO — subtraction means adding the opposite

  • Review: Negation (finding the opposite by multiplying by a negative 1)

  • Review: Equivalent fractions 1/2 = 6/12 How to find an equivalent fraction by multiplying by a strategic 1 (anything over itself, 4/4, 10/10 is just a fancy 1!) And finding of equivalent fractions of monomials with variables in them (chp 2.6)

Review

  • Chp 2.2 Adding Positive & Negative Integers NO CALCULATORS *If you earned 100% on

  • Chp 2.3 Subtraction is Adding the Opposite

  • Chp 2.4 Multiplying & Dividing with + & - Integers Chp 2.6 Equivalent Fractions & Decimals

  • Chp 2.5 Solving 1-Step Equations Variables & constants: combining like terms, and substituting values in for a variable

  • Chp 2.7 Comparing & Ordering Rational numbers (fractions & decimals)

  • Chp 2.8 Adding and Subtracting Decimals

Week 4-5 Classwork Content Summary

  • Positive and Negative integers: adding, subtracting, multiplying & dividing them

  • SMATO — subtraction means adding the opposite

  • Negation (finding the opposite by multiplying by a negative 1)

  • Equivalent fractions 1/2 = 6/12 How to find an equivalent fraction by multiplying by a strategic 1 (anything over itself, 4/4, 10/10 is just a fancy 1!)

  • Complementary and supplementary angles

  • Using superpowers of addition and multiplication to make problems easier to solve with mental math

  • Classifying angles - right, acute, obtuse, straight & introduction to parallel lines and transversals (chp 8.1-8.2)

    Review: Variables & constants: combining like terms, and substituting values in for a variable

Week 3 Classwork Content Summary

  • Adding positive and negative integers

  • Classifying angles - right, acute, obtuse, straight

  • Absolute value is distance from zero, zero pairs, opposites = additive inverse

  • Review: Variables & constants: combining like terms, and substituting values in for a variable

  • Review: Translating words to math: which English words signal addition, subtraction, multiplication, and division. Writing math expressions from words (three less than a number —> n-3)

  • How to use the HW tracker to keep track of one’s progress in the class.

Week 2 Classwork Content Summary

  • Variables & constants: combining like terms, and substituting values in for a variable

  • Translating words to math: Writing math expressions from words (three less than a number —> n-3)

  • Order of Operations…: G/PEMDAS

  • How to self-assess one’s homework. Did hard problems together from the HW. KEY: write each step down vertically.

Week 1 CW Content Summary

  • Get to know Algebra Tiles: variables, constants, coefficients, combining like terms, adding like terms, multiplying with the corner piece

  • Properties of Numbers/Arithmetic: distributive property, associative property of multiplication and addition, commutative property of multiplication and division, identity property

  • Order of Operations: G/PEMDAS