1: The learner will understand and compute with rational numbers.

1.01: Develop number sense for negative rational numbers.

1.01.a: Connect the model, number word, and number using a variety of representations, including the number line.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Improper Fractions and Mixed Numbers

1.01.b: Compare and order.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

1.02: Develop meaning for percents.

1.02.a: Connect the model, number word, and number using a variety of representations.

Improper Fractions and Mixed Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

1.02.b: Make estimates in appropriate situations.

Percents and Proportions

1.03: Compare and order rational numbers.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.

1.04.a: Analyze computational strategies.

Adding Real Numbers

1.04.c: Estimate the results of computations.

Estimating Sums and Differences

1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

2: The learner will select and use appropriate tools to measure two- and three-dimensional figures.

2.01: Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

2.02: Solve problems involving perimeter/circumference and area of plane figures.

Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

3: The learner will understand and use properties and relationships of geometric figures in the coordinate plane.

3.02: Identify the radius, diameter, chord, center, and circumference of a circle; determine the relationships among them.

Circle: Circumference and Area
Measuring Trees

3.03: Transform figures in the coordinate plane and describe the transformation.

Points in the Coordinate Plane - Activity A
Quilting Bee (Symmetry)
Rock Art (Transformations)
Rotations, Reflections and Translations

3.04: Solve problems involving geometric figures in the coordinate plane.

Classifying Triangles
Points in the Coordinate Plane - Activity A

4: The learner will understand and determine probabilities.

4.01: Develop fluency with counting strategies to determine the sample space for an event. Include lists, tree diagrams, frequency distribution tables, permutations, combinations, and the Fundamental Counting Principle.

Permutations and Combinations
Populations and Samples

4.03: Conduct experiments involving simple and compound events.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

4.04: Determine and compare experimental and theoretical probabilities for simple and compound events.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Polling: City
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

4.05: Determine and compare experimental and theoretical probabilities for independent and dependent events.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

4.06: Design and conduct experiments or surveys to solve problems; report and analyze results.

Mascot Election (Pictographs and Bar Graphs)

5: The learner will demonstrate an understanding of simple algebraic expressions.

5.01: Simplify algebraic expressions and verify the results using the basic properties of rational numbers.

5.01.d: Distributive.

Chocomatic (Multiplication, Arrays, and Area)

5.01.e: Order of operations.

Order of Operations

5.03: Solve simple (one- and two-step) equations or inequalities.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Road Trip (Problem Solving)
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

5.04: Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Part:Part and Part:Whole Ratios
Polling: Neighborhood