Standards
1.1.1: Order, model, and compare positive rational numbers (fractions, decimals, and percentages)
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
1.1.3: Understand rates and ratios as comparisons of two quantities by division
Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood
1.1.4: Differentiate between rates and ratios and express both as fractions
Part:Part and Part:Whole Ratios
Polling: Neighborhood
1.1.5: Solve problems by calculating rates and ratios
Estimating Population Size
Geometric Probability - Activity A
Part:Part and Part:Whole Ratios
Polling: Neighborhood
1.1.6: Locate positive rational numbers (fractions, decimals, and percentages) on a number line
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
1.1.7: Apply equivalent forms of fractions and decimals to solve problems
Percents, Fractions and Decimals
1.1.8: Determine equivalent forms of fractions, mixed numbers and improper fractions
Improper Fractions and Mixed Numbers
1.1.10: Identify prime and composite numbers less than 100
Finding Factors with Area Models
1.2.1: Develop and analyze algorithms for computing with fractions and mixed numbers
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
1.2.2: Add and subtract fractions with like and unlike denominators
Fractions with Unlike Denominators
1.2.3: Understand linear, area, and discrete models to multiply and divide fractions
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
1.2.4: Solve problems involving common percentages
Percents and Proportions
Polling: Neighborhood
1.2.5: Convert mentally among common decimals, fractions and percentages
Percents, Fractions and Decimals
1.2.6: Apply grouping symbols to simplify calculations and evaluate expressions
1.2.7: Develop and use strategies to estimate the results of positive rational number computations and judge the reasonableness of results
Estimating Population Size
Estimating Sums and Differences
1.2.8: Use referent numbers in estimating answers to adding and subtracting fractions and mixed numbers (e.g., 2 1/4 + 3/8 < 3, since both 1/4 and 3/8 are less than 1/2)
Estimating Population Size
Estimating Sums and Differences
Fractions with Unlike Denominators
1.3.1: Use the inverse operations of addition and subtraction to solve problems and check solutions involving adding and subtracting fractions and mixed numbers
Fractions with Unlike Denominators
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
1.3.2: Apply the associative, commutative, and distributive properties to simplify computations with positive rational numbers
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals
2.1.1: Find, use, and interpret measures of center and spread
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
2.2.1: Determine experimental probability of an event from a set of data
Geometric Probability - Activity A
2.2.2: Express probability using fractions, ratios, decimals, and percents
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
2.2.4: Determine the number of possible combinations of two or more classes of objects (e.g., shirts, pants and shoes)
2.3.1: Design experiments and simulations to determine experimental probability of different outcomes
Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability
2.3.2: Understand that experimental probability approaches theoretical probability as the number of trials increases
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability
2.3.3: Recognize and understand the connections among concepts of independent outcomes, picking at random, and fairness
2.3.4: Represent and interpret the outcome of a probability experiment using a frequency distribution, including determining experimental probabilities
Describing Data Using Statistics
Line Plots
Populations and Samples
2.4.2: Predict the outcome of a probability experiment by computing and using theoretical probability
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
3.1.1: Represent, analyze and determine rules for finding patterns involving positive rational numbers with tables, graphs, words, and when possible, symbolic rules
Using Tables, Rules and Graphs
3.2.1: Develop an understanding of different uses of variables (e.g., as a placeholder for a specific unknown, as representative of a range of values)
3.2.3: Describe and interpret relationships using information from tables and graphs including coordinate graphs (first quadrant)
Points in the Coordinate Plane - Activity A
Using Tables, Rules and Graphs
3.3.1: Model and solve contextualized problems using various representations such as graphs, tables, and equations
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
3.3.2: Recognize and represent direct variation using tables and graphs
3.4.1: Investigate how a change in one variable relates to a change in a second variable
4.1.1: Select the most appropriate unit to measure area and perimeter
Perimeter, Circumference, and Area - Activity B
4.2.1: Determine measurements of length and perimeter to the nearest eighth inch (for length less than one foot) and nearest inch (for lengths greater than one foot)
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area
4.2.3: Develop and use formulas for finding perimeter and area of polygons
Area of Parallelograms - Activity A
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area
4.2.4: Calculate the area and circumference of a circle using pi as well as common approximations of pi (e.g., 3.14, 22/7)
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
4.2.7: Recognize that two-dimensional shapes having the same perimeter may have different areas and that shapes having the same area may have different perimeters
Perimeter, Circumference, and Area - Activity B
4.2.8: Analyze how changes in area of a figure affect the dimensions of the figure
Area of Parallelograms - Activity A
Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
4.2.9: Use referents to make estimates of area and evaluate the reasonableness of the estimate (e.g., estimate area of classroom by measuring area of one floor tile)
Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area
4.2.10: Calculate rates (e.g., miles per hour, simple interest, people per square mile) to solve problems.
5.1.1: Identify, describe, compare and classify polygons by their sides and angles
Classifying Quadrilaterals - Activity A
Classifying Triangles
Isosceles and Equilateral Triangles
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
5.1.2: Identify and represent the radius, center, diameter, chord and circumference of a circle
Circle: Circumference and Area
5.1.3: Identify combinations of angles that are complementary or supplementary and determine their measures
Investigating Angle Theorems - Activity A
5.1.4: Use properties of polygons to determine the lengths of sides and perimeters
Classifying Triangles
Perimeter, Circumference, and Area - Activity B
5.1.5: Develop, understand, and apply the property of the sum of the measures of the interior angles in a polygon as well as the sum of the exterior angles
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
5.2.1: Model, sketch, draw and label polygons, circles (including the center, radius, and diameter), complementary angles, supplementary angles, vertical angles, and adjacent angles
Investigating Angle Theorems - Activity A
5.2.2: Identify and describe the intersection of two or more geometric figures in the plane (e.g., the intersection of a circle and a line)
5.3.1: Plot polygons on coordinate graphs (first quadrant)
Points in the Coordinate Plane - Activity A
5.4.1: Build or sketch a shape that has a given number of lines of symmetry, or rotational symmetries (e.g., sketch a simple polygon with a given number of lines of symmetry)
Correlation last revised: 10/24/2008