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.

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.

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Simplifying Variable Expressions Worksheet

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Algebraic Thinking Ck-12

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Algebraic Thinking: Goals and Objectives

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Solving Simple Equations Worksheet

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Order of Operations Worksheet

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Order of Operations Example (Positive Only)

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Exponent example 2

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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

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One-step division equations

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Two-step equations intuition

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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

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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.

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Comparing and Ordering Fractions

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

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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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Add fractions with unlike denominators

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7th Grade Number System Common Core Standards

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7th Grade Expressions Common Core Standards

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How to Add Fractions That Have Different Denominat...

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Multiplying Decimals

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Dividing fractions: 3/5 ÷ 1/2

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Multiplying positive and negative fractions - Asse...

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

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Assessment: Converting fractions to decimals

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Adding three decimals

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Assessment: Subtracting fractions with unlike deno...

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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.

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Convert decimals to percents

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Convert percents to decimals

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7th Grade Number System Common Core Standards

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7th Grade Expressions Common Core Standards

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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.

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Identifying Rational Numbers Video

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Multiplying and dividing negative numbers

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Distributive Property Interactive Assessment

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Distributive Property Video Part 2

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Integers and Rational Numbers Video

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Common Core State Standards - Intergers

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Adding numbers with different signs (example)

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Assessment: Adding negative numbers

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Assessment: Multiplying & dividing negative number...

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Adding/Subtracting Negative Numbers

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Distributive property over addition

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.

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Ratios, Rates, and Proportions Ck-12

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Ratios, Rates, & Proportions Goals and Objectives

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Ratios Worksheet

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Proportions and Rates Worksheet

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Ratios, Rates, and Proportions Review Questions

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Setting up proportions to solve word problems

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Solving Proportions Worksheet

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Rates and Ratios Worksheet

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Solving unit rates problem

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Proportions Word Problems

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Equivalent ratio word problems - Interactive Asses...

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Understanding Proportions Video

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Equivalent Ratios Interactive Assessment

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Solving Proportions Interactive Assessment

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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.

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Equations and Inequalities Ck-12

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Equations and Inequalities: Goals and Objectives

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Adding and Subtracting Inequalities Worksheet

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Writing Expressions Worksheet

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Two-Step Equations Worksheet

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Simplifying Expressions Worksheet

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Addition and Subtraction Equations Worksheet

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Multiplication and Division Equations Worksheet

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Equations and Inequalities Review Questions

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Plotting an inequality example

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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

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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

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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.

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Angles formed between transversals and parallel li...

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Geometry Ck-12

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Geometry: Goals and Objectives

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Finding Angle Measures Worksheet

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Complementary Angles Worksheet

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Supplementary Angles Worksheet

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Alternate Angles Worksheet

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Scale Factor Worksheet

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Complementary and Supplementary Angles

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Types of Polygons Worksheet

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Identifying Transformations Worksheet

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Transformations on a Coordinate Plane Worksheet

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Geometry Review Questions

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Reflections Worksheet

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Angles: introduction

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Alternate Angles Interactive Assessment

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Complementary and supplementary angles (visual) - ...

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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

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8th Grade Geometry Common Core Standards

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7th Grade Geometry Common Core Standards

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Sum of Interior Angles of a Polygon

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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.

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Area of Parallelograms and Triangles Worksheet

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Intro to the Pythagorean theorem

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Distance and Area Ck-12

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Distance and Area: Goals and Objectives

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Area of Parallelograms Worksheet

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Area of Trapezoids and Triangles Worksheet

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Perfect Squares Worksheet

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Area of a Circle Worksheet

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Circumference of a Circle Worksheet

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Pythagorean Theorem Worksheet

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Understanding Square Roots

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Approximating square roots to hundredths

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Pythagorean Theorem Interactive Assessment

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Simplifying Radicals

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Simplify square roots - Interactive Practice

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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

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8th Grade Geometry Common Core Standards

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7th Grade Geometry Common Core Standards

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Circles: Radius, diameter, circumference, and Pi

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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.

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VIDEO

Independent Probability Video

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Ways to Arrange Colors - Permutations and Combinat...

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Probability Ck-12

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Probability: Goals and Objectives

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Simple Probability Worksheet

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Counting Principle Worksheet

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Probability Review Questions

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Permutations Worksheet Part I

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Permutations Worksheet Part II

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Combinations Worksheet

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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

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8th Grade Statistics Common Core Standards

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7th Grade Statistics Common Core Standards

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Example: Different ways to pick officers

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Simple probability: yellow marble

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Simple probability - interactive practice