 Mathematics
MTH0306 ccs
Developmental Mathematics 2

This course explores foundational math concepts that will prepare students for Algebra and more advanced topics. Units include Algebraic Thinking, Decimals and Fractions, Integers, Ratios, Rates and Proportions, Percents, Equations and Inequalities, Geometry, Distance and Area, and Probability.

9 Units

### Algebraic Thinking

This unit considers the basic principles surrounding algebra, including patterns, expression, equations, and order of operations. Students are also introduced to strategies for practical problem solving.

items (22)
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Simplifying Variable Expressions Worksheet

DOCUMENT

Algebraic Thinking Ck-12

DOCUMENT

Algebraic Thinking: Goals and Objectives

DOCUMENT

Solving Simple Equations Worksheet

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Order of Operations Worksheet

VIDEO

Order of Operations Example (Positive Only)

VIDEO

Exponent example 2

VIDEO

Evaluating an expression with one variable

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Algebraic Thinking Review Questions

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One-Step Equations Interactive Assessment

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Evaluating Expressions with one variable - Practic...

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Evaluating Expressions with two variables - Practi...

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Order of Operations Interactive Assessment

VIDEO

One-step division equations

VIDEO

Two-step equations intuition

VIDEO

Example: Evaluating expressions with 2 variables

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Order of Operations and Exponents Worksheet

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Multiplication Properties of Exponents Worksheet

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Evaluating Expressions Worksheet

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One-Step Equations Worksheet

DOCUMENT

Common Core State Standards - Early Algebra

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Exponents (basic) - interactive practice

### Decimals and Fractions

This unit focuses on the operations of decimals and fractions.

items (21)
VIDEO

Comparing and Ordering Fractions

VIDEO

Decimal Division: Dividing by a Multi-Digit Decima...

VIDEO

Subtracting decimals: 9.005 - 3.6

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Dividing Decimals 1 - Interactive Assessment

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Adding decimals: hundredths - Interactive Practice...

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Subtracting decimals: hundredths - Practice

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Multiplying decimals like 0.847x3.54 (standard alg...

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Order Fractions Interactive Assessment

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DOCUMENT

7th Grade Number System Common Core Standards

DOCUMENT

7th Grade Expressions Common Core Standards

VIDEO

How to Add Fractions That Have Different Denominat...

VIDEO

Multiplying Decimals

VIDEO

Dividing fractions: 3/5 ÷ 1/2

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Multiplying positive and negative fractions - Asse...

VIDEO

Worked example: Converting a fraction (7/8) to a d...

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Assessment: Converting fractions to decimals

VIDEO

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Assessment: Subtracting fractions with unlike deno...

VIDEO

Multiplying 2 fractions: 5/6 x 2/3

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Dividing unit fractions by whole numbers - Interac...

### Percents

This unit introduces students to basic operations involving percents.

items (6)
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Convert decimals to percents

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Convert percents to decimals

DOCUMENT

7th Grade Number System Common Core Standards

DOCUMENT

7th Grade Expressions Common Core Standards

VIDEO

Taking percentages

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Percent word problems - Interactive Practice

### Integers

This unit introduces students to the properties of integers and their rules of operation. The unit also covers rational numbers and the distributive property.

items (11)
VIDEO

Identifying Rational Numbers Video

VIDEO

Multiplying and dividing negative numbers

WEB RESOURCE

Distributive Property Interactive Assessment

VIDEO

Distributive Property Video Part 2

VIDEO

Integers and Rational Numbers Video

DOCUMENT

Common Core State Standards - Intergers

VIDEO

Adding numbers with different signs (example)

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Assessment: Multiplying & dividing negative number...

VIDEO

VIDEO

### Rates, Ratios, and Propor...

This unit covers the concepts of ratios, rates, and proportions. It also explores the topics of slope, scale factor, cross products, and various problem-solving strategies which utilize proportions.

items (17)
DOCUMENT

Ratios, Rates, and Proportions Ck-12

DOCUMENT

Ratios, Rates, & Proportions Goals and Objectives

DOCUMENT

Ratios Worksheet

DOCUMENT

Proportions and Rates Worksheet

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Ratios, Rates, and Proportions Review Questions

VIDEO

Setting up proportions to solve word problems

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Solving Proportions Worksheet

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Rates and Ratios Worksheet

VIDEO

Solving unit rates problem

DOCUMENT

Proportions Word Problems

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Equivalent ratio word problems - Interactive Asses...

VIDEO

Understanding Proportions Video

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Equivalent Ratios Interactive Assessment

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Solving Proportions Interactive Assessment

DOCUMENT

7th Grade Ratios Common Core Standards

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Rate problems

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Assessment: Writing proportions

### Equations and Inequalitie...

This unit explores the properties of equations and inequalities, emphasizing the relationship between the two concepts.

items (25)
DOCUMENT

Equations and Inequalities Ck-12

DOCUMENT

Equations and Inequalities: Goals and Objectives

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Writing Expressions Worksheet

DOCUMENT

Two-Step Equations Worksheet

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Simplifying Expressions Worksheet

DOCUMENT

DOCUMENT

Multiplication and Division Equations Worksheet

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Equations and Inequalities Review Questions

VIDEO

Plotting an inequality example

VIDEO

How to solve equations of the form ax = b

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Solving Inequalities Worksheet

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Equations and Inequalities Review Questions

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One-step multiplication & division equations - Ass...

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Linear Equations Interactive Assessment 4

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Writing expressions with variables

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Create expressions with parentheses

VIDEO

Two-step equations intuition

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Solving Inequalities Interactive Assessment

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Plotting Inequalities - Practice

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Multiplying & Dividing Inequalities Worksheet

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Two-Step Inequalities Interactive Assessment

DOCUMENT

CCSS - Middle School Equations and Inequalities

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Assessment: Two-step equations

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Equations with variables on both sides - Interacti...

### Geometry

This unit introduces students to the basic concepts of geometry. The topics covered include angles, triangles, polygons, similar and congruent figures, and transformations.

items (32)
VIDEO

Angles formed between transversals and parallel li...

DOCUMENT

Geometry Ck-12

DOCUMENT

Geometry: Goals and Objectives

DOCUMENT

Finding Angle Measures Worksheet

DOCUMENT

Complementary Angles Worksheet

DOCUMENT

Supplementary Angles Worksheet

DOCUMENT

Alternate Angles Worksheet

DOCUMENT

Scale Factor Worksheet

VIDEO

Complementary and Supplementary Angles

DOCUMENT

Types of Polygons Worksheet

DOCUMENT

Identifying Transformations Worksheet

DOCUMENT

Transformations on a Coordinate Plane Worksheet

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Geometry Review Questions

DOCUMENT

Reflections Worksheet

VIDEO

Angles: introduction

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Alternate Angles Interactive Assessment

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Complementary and supplementary angles (visual) - ...

VIDEO

CA Geometry: More on congruent and similar triangl...

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Determine congruent triangles Interactive Assessme...

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Determine similar triangles: AA Interactive Assess...

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Corresponding Angles Interactive Assessment

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Identifying Polygons Interactive Assessment

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Identify Transformations Interactive Assessment

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Translations in the Coordinate Plane Assessment

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Reflections on a Coordinate Plane Assessment

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Rotations on a Coordinate Plane Assessment

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Angles of Parallel Lines Interactive Assessment

DOCUMENT

8th Grade Geometry Common Core Standards

DOCUMENT

7th Grade Geometry Common Core Standards

VIDEO

Sum of Interior Angles of a Polygon

VIDEO

Vertical angles

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Assessment: Finding angle measures between interse...

### Distance and Area

This unit introduces students to concepts such as square roots and irrational and rational numbers. Then students will learn about the Pythagorean Theorem and the areas of various polygons and circles.

items (26)
WEB RESOURCE

Area of Parallelograms and Triangles Worksheet

VIDEO

Intro to the Pythagorean theorem

DOCUMENT

Distance and Area Ck-12

DOCUMENT

Distance and Area: Goals and Objectives

DOCUMENT

Area of Parallelograms Worksheet

DOCUMENT

Area of Trapezoids and Triangles Worksheet

DOCUMENT

Perfect Squares Worksheet

DOCUMENT

Area of a Circle Worksheet

DOCUMENT

Circumference of a Circle Worksheet

DOCUMENT

Pythagorean Theorem Worksheet

VIDEO

Understanding Square Roots

VIDEO

Approximating square roots to hundredths

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Pythagorean Theorem Interactive Assessment

VIDEO

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Simplify square roots - Interactive Practice

VIDEO

Area of a Parallelogram Proof

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Area of Parallelograms Interactive Assessment

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Area of Trapezoids and Triangles Assessment

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Properties of Circles Interactive Assessment

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Perfect Squares Interactive Assessment

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Approximating Square Roots Interactive Assessment

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Circles Word Problems Interactive Assessment

DOCUMENT

8th Grade Geometry Common Core Standards

DOCUMENT

7th Grade Geometry Common Core Standards

VIDEO

Circles: Radius, diameter, circumference, and Pi

VIDEO

Area of a circle

### Probability

This unit offers a basic introduction to the concept of probability. Some of the topics covered include the counting principle, combinations, permutations, and theoretical and experimental probability.

items (22)
VIDEO

Independent Probability Video

VIDEO

Ways to Arrange Colors - Permutations and Combinat...

DOCUMENT

Probability Ck-12

DOCUMENT

Probability: Goals and Objectives

DOCUMENT

Simple Probability Worksheet

DOCUMENT

Counting Principle Worksheet

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Probability Review Questions

DOCUMENT

Permutations Worksheet Part I

DOCUMENT

Permutations Worksheet Part II

DOCUMENT

Combinations Worksheet

DOCUMENT

Experimental & Theoretical Probability Worksheet

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Probability of Simple Events Worksheet

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Dependent & Independent Probability Assessment

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Permutations Interactive Assessment

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Combinations Interactive Assessment

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Dependent & Independent Events Assessment

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Experimental Probability Interactive Assessment

DOCUMENT

8th Grade Statistics Common Core Standards

DOCUMENT

7th Grade Statistics Common Core Standards

VIDEO

Example: Different ways to pick officers

VIDEO

Simple probability: yellow marble

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Simple probability - interactive practice