Curriculum Framework
NO.1.1: Relate, with and without models and pictures, concepts of ratio, proportion, and percent, including percents less than 1 and greater than 100
Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
NO.1.2: Demonstrate, with and without appropriate technology, an understanding of place value using powers of 10 and write numbers greater than one in scientific notation
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits
NO.1.3: Convert between scientific notation and standard notation using numbers greater than one.
Unit Conversions 2 - Scientific Notation and Significant Digits
NO.1.5: Compare and represent integers, fractions, decimals and mixed numbers and find their approximate location on a number line
Adding Fractions (Fraction Tiles)
Adding on the Number Line
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)
NO.2.2: Apply the addition, subtraction, multiplication and division properties of equality to onestep equations with integers, fractions, and decimals
Solving Algebraic Equations II
NO.2.3: Apply rules (conventions) for order of operations to integers and positive rational numbers including parentheses, brackets or exponents
NO.2.4: Model and develop addition, subtraction, multiplication and division of integers
Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
NO.3.1: Compute, with and without appropriate technology, with integers and positive rational numbers using real-world situations to solve problems
Adding on the Number Line
Dividing Mixed Numbers
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals
NO.3.3: Determine when an Estimate is sufficient and use Estimation to decide whether answers are reasonable in problems including fractions and decimals
Estimating Sums and Differences
NO.3.4: Apply factorization, LCM, and GCF to solve problems using more than two numbers and explain the solution
Finding Factors with Area Models
NO.3.5: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares) with and without appropriate technology
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Rational Numbers, Opposites, and Absolute Values
Square Roots
NO.3.6: Solve, with and without technology, real world percent problems
Percents, Fractions, and Decimals
A.4.1: Create and complete a function table (input/output) using a given rule with two operations
Function Machines 1 (Functions and Tables)
Function Machines 3 (Functions and Problem Solving)
A.4.2: Identify and extend patterns in real world situations
Arithmetic Sequences
Finding Patterns
Geometric Sequences
A.5.1: Solve and graph one-step linear equations and inequalities using a variety of methods (i.e., hands-on, inverse operations, symbolic) with real world application with and without technology
Compound Inequalities
Linear Inequalities in Two Variables
Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line
A.5.2: Solve simple linear equations using integers and graph on a coordinate plane
A.5.3: Translate phrases and sentences into algebraic expressions and equations including parentheses and positive and rational numbers and simplify algebraic expressions by combining like terms
Addition of Polynomials
Improper Fractions and Mixed Numbers
Multiplying with Decimals
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations on the Number Line
G.8.1: Identify, draw, classify and compare geometric figures using models and real world examples
G.8.2: Investigate geometric properties and their relationships in one, two and three dimensions models, including convex and concave polygons
G.8.3: Recognize the pairs of angles formed and the relationship between the angles including two intersecting lines and parallel lines cut by a transversal (vertical, supplementary, complementary, corresponding, alternate interior, alternate exterior angles and
G.8.4: Use paper or physical models to determine the sum of the measures of interior angles of triangles and quadrilaterals
G.8.6: Develop the properties of similar figures (ratio of sides and congruent angles)
G.9.1: Examine the congruence, similarity, and line or rotational symmetry of objects using transformations
Circles
Dilations
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
G.9.2: Perform translations and reflections of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper)
Holiday Snowflake Designer
Rock Art (Transformations)
G.10.1: Plot points in the coordinate plane
City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Slope
G.11.1: Build three-dimensional solids from two-dimensional patterns (nets)
Surface and Lateral Areas of Prisms and Cylinders
M.12.2: Understand relationships among units within the same system
M.12.3: Find different areas for a given perimeter and find a different perimeter for a given area
Circumference and Area of Circles
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
M.13.1: Solve real world problems involving two or more elapsed times, counting forward and backward (calendar and clock)
M.13.4: Derive and use formulas for surface area and volume of prisms and cylinders and justify them using geometric models and common materials
Surface and Lateral Areas of Prisms and Cylinders
M.13.5: Apply properties (scale factors, ratio, and proportion) of congruent or similar triangles to solve problems involving missing lengths and angle measures
M.13.7: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes
Area of Triangles
Fido's Flower Bed (Perimeter and Area)
DAP.14.1: Identify different ways of selecting samples and compose appropriate questions
Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
DAP.14.2: Explain which types of display are appropriate for various data sets (line graph for change over time, circle graph for part-to-whole comparison, scatter plot for trends)
Correlation
Elevator Operator (Line Graphs)
Graphing Skills
DAP.14.3: Construct and interpret circle graphs, box-and-whisker plots, histograms, scatter plots and double line graphs with and without appropriate technology
Box-and-Whisker Plots
Correlation
Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Prairie Ecosystem
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots
DAP.15.1: Analyze data displays, including ways that they can be misleading
Graphing Skills
Polling: City
Populations and Samples
Reaction Time 2 (Graphs and Statistics)
DAP.15.2: Analyze, with and without appropriate technology, a set of data by using and comparing measures of central tendencies (mean, median, mode) and measures of spread (range, quartile, interquartile range)
Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 2 (Graphs and Statistics)
DAP.17.1: Understand that probability can take any value between 0 and 1 (events that are not going to occur have probability 0, events certain to occur have probability 1)
Geometric Probability
Independent and Dependent Events
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability
Correlation last revised: 5/8/2018