1: The student will use number properties to simplify and solve simple linear equations.

1.2: Use a variety of methods to model and solve one-step linear equations (e.g., use properties of equality, graph ordered pairs with paper and pencil, use graphing calculators).

Modeling One-Step Equations - Activity A

2: The student will use numbers and number relationships to acquire basic facts and determine the reasonableness of results.

2.1: Integers

2.1.a: Compare and order positive and negative integers and describe their use in real-life situations (e.g., temperature, sea level, stock market fluctuations, football yardage).

Comparing and Ordering Integers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

2.1.b: Use the basic operations on integers to solve problems.

Adding and Subtracting Integers with Chips

2.2: Ratio, Proportion and Percents

2.2.a: Demonstrate the concept of ratio and proportion with models (e.g., similar geometric shapes, scale models).

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Proportions and Common Multipliers

2.2.b: Set up equivalent ratios, estimate and solve problems using ratio, proportions, and percents including percents greater than 100 and less than 1 (e.g., determine missing sides of similar figures, heart rate per minute, cost per pound, pay to hours worked overtime).

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Percents and Proportions
Polling: Neighborhood
Proportions and Common Multipliers

2.2.c: Solve percent application problems (e.g., discounts, tax, finding the missing value of percent/part/whole).

Percent of Change
Percents and Proportions

2.3: Exponents

2.3.b: Build and recognize models of multiples to investigate squares and square roots (e.g., build rectangular arrays for numbers 1 to 100 and note which can be represented as squares).

Square Roots

2.3.c: Estimate the square root of a number (e.g., between two consecutive integers).

Square Roots

3: The student will apply the properties and relationships of plane geometry in a variety of contexts.

3.1: Classifying Geometric Figures

3.1.a: Classify triangles according to their sides and angles.

Classifying Triangles
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

3.1.b: Classify quadrilaterals according to their sides and angles (e.g., determine whether all squares are rectangles).

Classifying Quadrilaterals - Activity A
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Special Quadrilaterals

3.2: Identify and compare bisectors, interior, exterior, and vertical angles (e.g., using graph paper, software, protractors to measure angles between parallel lines with a transversal).

Investigating Angle Theorems - Activity A
Triangle Angle Sum - Activity A

3.3: Rectangular Coordinate System

3.3.a: Locate points on a plane in all four quadrants.

Points in the Coordinate Plane - Activity A

3.3.b: Identify geometric transformation of figures (rotations, translations, and reflections).

Reflections
Rotations, Reflections and Translations

4: The student will use measurement to solve problems in a variety of contexts.

4.1: Area and Perimeter

4.1.a: Develop area and perimeter concepts (e.g., use grids to estimate the area of irregular shapes).

Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

4.1.b: Apply formulas to solve problems involving perimeter (circumference) and area of polygons and circles.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

4.2: Customary and Metric Measurements

4.2.a: Select and use appropriate tools for measurements in practical applications and make reasonable estimates of measurements in a particular situation using the appropriate unit.

Triple Beam Balance

5: The student will use probability to formulate and justify predictions from a set of data.

5.1: Use data from a sample to predict possible outcomes and compute simple probabilities as fractions, decimals or percents (e.g., use data from lists, tree diagrams, frequency distribution tables, area models).

Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events
Permutations and Combinations
Probability Simulations
Theoretical and Experimental Probability

5.2: Determine the probability of an event involving “or”, “and”, or “not” (e.g., on a spinner with 1 blue, 2 red and 2 yellow sections, what is the probability of getting a red or a yellow?).

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events

5.3: Find all possible combinations and permutations involving a limited number of variables.

Permutations and Combinations