# HS Foundations

All standards for Foundations of Algebra & Practice

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Foundations of Algebra A (Fall)

Week 1 (Unit 1)

Group Problem Solving Activities

Week 2 (Unit 1)

Group Problem Solving Activities

Week 3 (Unit 1)

Factors

Multiples

Prime Climb Handout

Prime vs. Composite Numbers Handout

Least Common Multiples Handout

Prime Factorization

• Expanded Form Handout

• Exponent Form Handout

Exponents

Week 4 (Unit 1)

Special Definition of Multiplication: Groups X Items in Each Group = Items in ALL groups

Units and why it is important to use them in problems

The following problems were done using our definitions of multiplication and division only. Rates and Ratios were not taught yet:

• Practice computing Distance pg. 35

• Practice computing Rates pg. 34

• Practice Computing Time of Travel pg. 33

• Practice computing Mileage pg. 36

• Practice solving word problems in different contexts with correct units pg. 37

Week 5 (Unit 1)

Introduction to Number Line

Graphing points on a Number Line

Using a number line to add integers pg. 177 #1-24

Graphing inequalities on a Number Line pg. 205 #1-10

Definition of a Fraction A/B

Week 6 (Unit 1)

All students: Changing words into mathematics pg.188-191

Conversion of Improper Fractions to Mixed Numbers using Fraction Strips Diagrams pg. 41 #1-27

Handout: Math Words and Fraction Packet

Handout: 20X20 Multiplication Table

Numerators vs. denominators

Week 7 (Unit 1)

Finding Greatest Common Factors pg. 43 #1-18

Reducing Fractions

Week 8 (Unit 1)

Place Value

Brief introduction to Decimals

Rounding

Week 9 (Unit 1)

Revisiting the definition of a fraction

Adding and Subtracting Fractions with Common Denominators

Equivalent Fractions

Finding Common Denominators

Week 10 (Unit 1)

Fraction Multiplication

FALL BREAK

Week 11 (Unit 1)

Definition of Division

Day 1: Fraction Division (Whole number divided by fraction & whole number division that results in a fraction)

Day 2: Fraction Division (Fraction divided by a whole number & fraction divided by a fraction)

Day 3: Continue activity

Week 12 (Unit 1)

Day 4: Fraction Division Algorithm

Locating fractions on a number line

Comparing fractions using a double number line

Week 13 (Unit 1)

Refresher on Place Values

Comparing decimals using place value

Locating decimals on a number line

Multiplying decimals

Division of decimals

Changing improper fractions to decimals

Week 14 (Unit 1)

Changing mixed numbers to decimals

Coin Denominations

Counting Money

Comparing decimals to fractions on a number line

Mixed Numbers on a Number Line

Week 15 (Unit 1)

Unit 1 Exam

Remediation

Test 1 Re-Take Friday after school

Week 16 (Unit 2)

Exponents and their Properties

Test 1 FINAL Re-Take during class

C Group - Perfect Squares and Perfect Cubes, Square Roots and Cube Roots

Order of Operations

Evaluation & Substitution into Algebraic Expressions

Week 17 (Unit 2)

Add, Subtract, and Multiply Algebraic Expressions

Week 18 (Unit 2)

Perimeter and Circumference

Area of circles, right triangles, squares, and rectangles

General use of formulas

Foundations of Algebra B (Spring)

Week 1 (Unit 3)

Solving proportions (6-R.13)

Quiz 1

Week 2 (Unit 3)

Review: Decimal Division

Review: Decimal Multiplication

Percents of numbers and money amounts (6-S.5)

Week 3 (Unit 3)

Quiz 2

Compare ratios: word problems (6-R.10)

Week 4 (Unit 3)

Solve percent equations (7-L.7)

Sale prices (6-V.5)

Sale prices: find the original price (6-V.6)

Quiz 3

Week 5 (Unit 3)

Objects on a Coordinate Plane

Graph points on a coordinate plane

Week 6 (Unit 3)

Review:Unit rates (6-R.8)

Graph a proportional relationship using slope (7-K.9)

Review: Round decimals (5-G.7)

Find the constant of proportionality from a graph (8-I.4)

Find the constant of proportionality from a table (8-I.1)

Interpret graphs of proportional relationships (8-I.9)

Extra test preparation:

Week 7 (Unit 4)

Module 3 Exam

Solve one-step equations with whole numbers (6-Z.6)

Week 8 (Unit 4)

Review: Reciprocals (6-L.2)

Review: Divide fractions (6-L.5)

Find the number of solutions (8-W.15)

Solve one-step equations with whole numbers (6-Z.6)

Solve one-step equations with decimals, fractions, and mixed numbers (6-Z.7)

Extra Quiz Practice:

Solve equations: word problems (8-W.14)

Week 9 (Unit 4)

Week 10 (Unit 4)

Review: Basics Made Easy pg. 180

Review: Basics Made Easy pg. 181 #1-27

Week 11 (Unit 4) ONLINE

Solve two step equations (Level 1)

Review: Basics Made Easy pg. 177

Review: Basics Made Easy pg. 179