Standards
1.1.1: Model, and compare rational numbers with an emphasis on integers
Comparing and Ordering Integers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
1.1.3: Use rates, ratios, and percents to solve problems
Estimating Population Size
Part:Part and Part:Whole Ratios
Percents and Proportions
Polling: Neighborhood
1.1.4: Locate rational numbers (with an emphasis on integers) on a number line
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A
1.1.5: Interpret, model, and use percents greater than 100 and less than 1 to solve problems
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions
1.1.6: Determine the prime factorization of a number less than 1000 and express the prime factorization using exponents when applicable
Finding Factors with Area Models
1.2.1: Develop and analyze algorithms and compute with integers
Adding and Subtracting Integers with Chips
1.2.2: Multiply and divide fractions and mixed numbers
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
1.2.3: Compute with squares and cubes, with an emphasis on finding area, surface area, and volume
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
1.2.4: Solve problems involving percentages (including percent increase and decrease, interest rates, tax, discount, tips, and part-whole relationships)
Percent of Change
Percents and Proportions
Simple and Compound Interest
1.2.5: Apply order of operations including exponents, to simplify calculations and evaluate expressions
Exponents and Power Rules
Order of Operations
1.2.6: Develop and use strategies to estimate the results of integer computations and judge the reasonableness of results
Adding and Subtracting Integers with Chips
Estimating Population Size
Estimating Sums and Differences
1.2.7: Use referent numbers in estimating answers to calculations with fractions and percents (e.g., 12 x 3/8 < 6, since 3/8 < 1/2 and 1/2 of 12 is 6)
Estimating Population Size
Estimating Sums and Differences
1.3.2: Use inverse operations (addition and subtraction, multiplication and division) to solve problems and check solutions involving calculations with integers
Adding and Subtracting Integers
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Order of Operations
Solving Two-Step Equations
1.3.3: Apply the associative, commutative, and distributive properties to simplify computations with rational numbers (with an emphasis on integers)
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals
1.3.5: Apply the property of additive inverses to determine solutions of equations
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
2.1.1: Find, use, and interpret measures of center and spread, including mean and interquartile range for given or derived data
Box-and-Whisker Plots
Line Plots
Mean, Median and Mode
2.2.1: Compute experimental probabilities from a set of data and theoretical probabilities for single and simple compound events, using various methods (e.g., organized lists, tree diagrams, area models)
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Permutations and Combinations
2.2.2: Determine probabilities of simple independent and dependent events
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
2.2.3: Compare experimental probability of an event with the theoretical probability and explain any difference
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability
2.2.4: Determine all possible outcomes of a particular event or all possible arrangements of objects in a given set by applying various methods including tree diagrams and systematic lists
2.3.2: Identify situations in which it makes sense to sample and identify methods for selecting a sample (e.g., convenience sampling, responses to survey, random sampling) that are representative of a population
2.3.3: Distinguish between random and biased samples and identify possible sources of bias in sampling
2.3.4: Represent and interpret data using frequency distribution tables, box-and whisker-plots, stem-and-leaf plots, and single- and multiple- line graphs
Box-and-Whisker Plots
Describing Data Using Statistics
Populations and Samples
Stem-and-Leaf Plots
2.3.5: Determine the graphical representation of a set of data that best shows key characteristics of the data
Box-and-Whisker Plots
Line Plots
Stem-and-Leaf Plots
2.4.1: Analyze data from frequency distribution tables, box-and whisker-plots, stem-and-leaf plots using measures of center and spread and draw conclusions
Box-and-Whisker Plots
Line Plots
Mean, Median and Mode
Populations and Samples
Stem-and-Leaf Plots
2.4.2: Predict and evaluate how adding data to a set of data affect measures of center
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
3.1.1: Represent, analyze and determine rules for finding patterns involving integers with tables, graphs, words, and when possible, symbolic rules
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Linear Functions
Using Tables, Rules and Graphs
3.2.1: Algebraically represent situations and solve problems involving linear equations and inequalities
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
3.2.3: Interpret algebraic relationships represented by two-column tables, number lines and coordinate graphs (four quadrants)
Linear Functions
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A
Using Tables, Rules and Graphs
3.2.4: Graph linear equations on a coordinate grid by making a table using integer coordinates
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Standard Form of a Line
Using Tables, Rules and Graphs
3.3.1: Model situations, make predictions and inferences, and solve problems using linear equations
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
3.3.2: Recognize and represent direct variation using tables, graphs, and equations
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
3.3.3: Identify and sketch a graph that models a given situation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
3.4.1: Identify and describe how a change in one variable relates to a change in a second variable
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Using Algebraic Equations
4.1.1: Select the most appropriate unit to measure surface area and volume
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
4.1.2: Convert from a measurement expressed in one unit within a system to another using a different unit within the same system to measure surface and volume
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
4.2.1: Develop and use strategies and formulas for calculating surface area and volume of right prisms, pyramids, and cylinders
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.2.2: Develop strategies for determining approximate volumes of irregular shapes
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
4.2.3: Determine surface area and volume of three-dimensional block constructions, given a two-dimensional representation
3D and Orthographic Views - Activity A
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.2.4: Compare and contrast the formulas for surface area and volume of prisms and pyramids
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.2.5: Create examples of rectangular prisms having the same volume, but different surface areas
Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders
4.2.6: Describe what happens to the surface area and volume of a solid when its shape is changed
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
4.2.7: Use referents to make estimates of surface area and volume and evaluate the reasonableness of the estimate
Estimating Population Size
Estimating Sums and Differences
5.1.1: Determine defining properties that characterize classes of quadrilaterals including side and angle measurements and their component parts (e.g., altitudes, medians, diagonals, bisectors)
Classifying Quadrilaterals - Activity A
Special Quadrilaterals
5.1.2: Identify parallel and intersecting lines and pairs of angles formed (right, vertical, adjacent) by parallel lines cut by a transversal and determine their measure
Investigating Angle Theorems - Activity A
5.1.3: Use proportional reasoning, drawings, models or technology to demonstrate congruence and similarity of polygons with an emphasis on quadrilaterals
Classifying Quadrilaterals - Activity A
Similar Figures - Activity A
5.1.4: Determine the measures of missing sides and angles in congruent quadrilaterals and their component parts
Classifying Quadrilaterals - Activity A
5.2.1: Model, sketch, and label prisms, pyramids, cylinders, and quadrilaterals with specified side lengths or angle measures
Classifying Quadrilaterals - Activity A
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
5.2.2: Use two-dimensional representation of three-dimensional objects, including nets, to solve problems involving surface area and volume
3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
5.3.1: Identify properties of quadrilaterals and their component parts on a coordinate graph
Classifying Quadrilaterals - Activity A
5.4.1: Determine the image of a point (with integer coordinates) on a graph under translations and reflections
Reflections
Rotations, Reflections and Translations
Correlation last revised: 10/24/2008