Curriculum Standards

1.1.1: knows, explains, and uses equivalent representations for rational numbers and simple algebraic expressions including integers, fractions, decimals, percents, and ratios; integer bases with whole number exponents; positive rational numbers written in scientific notation with positive integer exponents; time; and money, e.g., 253,000 is equivalent to 2.53 x 10 to the 5th power or x + 5x is equivalent to 6x.

Dividing Mixed Numbers

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Estimating Sums and Differences

Exponents and Power Rules

Fraction Garden (Comparing Fractions)

Improper Fractions and Mixed Numbers

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Toy Factory (Set Models of Fractions)

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

1.1.2: compares and orders rational numbers and the irrational number pi.

Circumference and Area of Circles

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.1.3: explains the relative magnitude between rational numbers and between rational numbers and the irrational number pi.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

1.3.2: uses various estimation strategies and explains how they were used to estimate rational number quantities and the irrational number pi.

Estimating Sums and Differences

1.4.1: computes with efficiency and accuracy using various computational methods including mental math, paper and pencil, concrete objects, and appropriate technology.

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Sums and Differences with Decimals

1.4.2: performs and explains these computational procedures:

1.4.2.d: adds, subtracts, multiplies, and divides fractions and expresses answers in simplest form;

Fractions with Unlike Denominators

1.4.2.f: uses order of operations (evaluates within grouping symbols, evaluates powers to the second or third power, multiplies or divides in order from left to right, then adds or subtracts in order from left to right) using whole numbers;

1.4.4: finds prime factors, greatest common factor, multiples, and the least common multiple.

Finding Factors with Area Models

1.4.5: finds percentages of rational numbers, e.g., 12.5% x $40.25 = n or 150% of 90 is what number? (For the purposes of assessment, percents will not be between 0 and 1.)

Percent of Change

Percents and Proportions

2.1.1: identifies, states, and continues a pattern presented in various formats including numeric (list or table), algebraic (symbolic notation), visual (picture, table, or graph), verbal (oral description), kinesthetic (action), and written using these attributes:

2.1.1.e: things related to daily life, e.g., tide, moon cycle, or temperature.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

2.1.3: extends a pattern when given a rule of one or two simultaneous changes (addition, subtraction, multiplication, division) between consecutive terms, e.g., find the next three numbers in a pattern that starts with 3, where you double and add 1 to get the next number; the next three numbers are 7, 15, and 31.

Finding Patterns

Function Machines 1 (Functions and Tables)

2.2.1: knows and explains that a variable can represent a single quantity that changes, e.g., daily temperature.

2.2.2: knows, explains, and uses equivalent representations for the same simple algebraic expressions, e.g., x + y + 5x is the same as 6x + y.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Expressions

2.2.4: explains the difference between an equation and an expression.

Compound Interest

Solving Equations on the Number Line

Using Algebraic Equations

2.2.5: solves:

2.2.5.a: one-step linear equations in one variable with positive rational coefficients and solutions, e.g., 7x = 28 or x + 3/ = 7 or x/3 = 5;

Solving Algebraic Equations II

2.2.6: explains and uses the equality and inequality symbols (=, not equal to, <, less than or equal to, >, greater than or equal to) and corresponding meanings (is equal to, is not equal to, is less than, is less than or equal to, is greater than, is greater than or equal to) to represent mathematical relationships with rational numbers.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

2.3.1: recognizes constant and linear relationships using various methods including mental math, paper and pencil, concrete objects, and graphing utilities or appropriate technology.

Arithmetic Sequences

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Slope-Intercept Form of a Line

2.3.2: finds the values and determines the rule through two operations using a function table (input/output machine, T-table).

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Linear Functions

Points, Lines, and Equations

2.3.3: demonstrates mathematical relationships using ordered pairs in all four quadrants of a coordinate plane.

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Points, Lines, and Equations

2.4.1: knows, explains, and uses mathematical models to represent and explain mathematical concepts, procedures, and relationships. Mathematical models include:

2.4.1.a: process models (concrete objects, pictures, diagrams, number lines, hundred charts, measurement tools, multiplication arrays, division sets, or coordinate grids) to model computational procedures, algebraic relationships, and mathematical relationships and to solve equations

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

2.4.1.b: place value models (place value mats, hundred charts, base ten blocks, or unifix cubes) to compare, order, and represent numerical quantities and to model computational procedures;

Comparing and Ordering Decimals

2.4.1.c: fraction and mixed number models (fraction strips or pattern blocks) and decimal and money models (base ten blocks or coins) to compare, order, and represent numerical quantities;

Adding Fractions (Fraction Tiles)

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Toy Factory (Set Models of Fractions)

2.4.1.e: equations and inequalities to model numerical relationships - fraction and mixed number models (fraction strips or pattern blocks) and decimal and money models (base ten blocks or coins) to compare, order, and represent numerical quantities;

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Linear Functions

Linear Inequalities in Two Variables

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

2.4.1.f: function tables to model numerical and algebraic relationships; - factor trees to find least common multiple and greatest common factor and to model prime factorization;

Function Machines 1 (Functions and Tables)

Points, Lines, and Equations

2.4.1.g: coordinate planes to model relationships between ordered pairs and linear equations; - equations and inequalities to model numerical relationships

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

2.4.1.h: two- and three-dimensional geometric models (geoboards, dot paper, nets or solids) to model perimeter, area, volume, and surface area, and properties of two- and three-dimensional; - function tables to model numerical and algebraic relationships;

Chocomatic (Multiplication, Arrays, and Area)

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

2.4.1.i: geometric models (spinners, targets, or number cubes), process models (coins, pictures, or diagrams), and tree diagrams to model probability; - coordinate planes to model relationships between ordered pairs and linear equations;

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

2.4.1.j: frequency tables, bar graphs, line graphs, circle graphs, Venn diagrams, charts, tables, single stem-and-leaf plots, scatter plots, and box-and-whisker plots to organize and display data; - two- and three-dimensional geometric models (geoboards, dot paper, nets or solids) to model perimeter, area, volume, and surface area, and properties of two- and three-dimensional;

Box-and-Whisker Plots

Compound Inequalities

Correlation

Describing Data Using Statistics

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Histograms

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

3.1.1: recognizes and compares properties of two- and three-dimensional figures using concrete objects, constructions, drawings, appropriate terminology, and appropriate technology.

Classifying Quadrilaterals

Similar Figures

Special Parallelograms

3.1.3: identifies angle and side properties of triangles and quadrilaterals:

3.1.3.a: sum of the interior angles of any triangle is 180°;

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

3.1.3.b: sum of the interior angles of any quadrilateral is 360°;

3.1.3.c: parallelograms have opposite sides that are parallel and congruent;

Classifying Quadrilaterals

Special Parallelograms

3.1.3.d: rectangles have angles of 90°, sides may or may not be equal;

Classifying Quadrilaterals

Perimeter and Area of Rectangles

Special Parallelograms

3.1.3.e: rhombi have all sides equal in length, angles may or may not be equal;

Classifying Quadrilaterals

Special Parallelograms

3.1.3.f: squares have angles of 90°, all sides congruent;

Classifying Quadrilaterals

Perimeter and Area of Rectangles

Special Parallelograms

3.1.3.g: trapezoids have one pair of opposite sides parallel and the other pair of opposites sides are not parallel.

3.1.4: identifies and describes:

3.1.4.a: the altitude and base of a rectangular prism and triangular prism,

Surface and Lateral Areas of Prisms and Cylinders

3.1.5: identifies corresponding parts of similar and congruent triangles and quadrilaterals.

3.1.10: describes the relationship between the diameter and the circumference of a circle.

Circumference and Area of Circles

3.2.1: determines and uses rational number approximations (estimations) for length, width, weight, volume, temperature, time, perimeter, and area using standard and nonstandard units of measure.

Fido's Flower Bed (Perimeter and Area)

3.2.2: selects and uses measurement tools, units of measure, and level of precision appropriate for a given situation to find accurate rational number representations for length, weight, volume, temperature, time, perimeter, area, and angle measurements.

Area of Triangles

Beam to Moon (Ratios and Proportions)

Fido's Flower Bed (Perimeter and Area)

Measuring Trees

3.2.3: converts within the customary system and within the metric system.

3.2.4: knows and uses perimeter and area formulas for circles, squares, rectangles, triangles, and parallelograms;

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

3.2.5: finds perimeter and area of two-dimensional composite figures of circles, squares, rectangles, and triangles;

Fido's Flower Bed (Perimeter and Area)

3.2.7: finds surface area of rectangular prisms using concrete objects;

3.2.7.b: volume of rectangular prisms.

Prisms and Cylinders

Pyramids and Cones

3.2.8: uses appropriate units to describe rate as a unit of measure, e.g., miles per hour.

3.2.9: finds missing angle measurements in triangles and quadrilaterals.

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Polygon Angle Sum

Similarity in Right Triangles

Triangle Angle Sum

3.3.1: identifies, describes, and performs single and multiple transformations [reflection, rotation, translation, reduction (contraction/shrinking), enlargement (magnification/growing)] on a two-dimensional figure.

Circles

Dilations

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

3.4.1: finds the distance between the points on a number line by computing the absolute value of their difference.

Rational Numbers, Opposites, and Absolute Values

3.4.2: uses all four quadrants of a coordinate plane to:

3.4.2.a: identify in which quadrant or on which axis a point lies when given the coordinates of a point,

City Tour (Coordinates)

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

3.4.2.b: plot points,

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

3.4.2.c: identify points,

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

3.4.2.d: list through five ordered pairs of a given line.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points, Lines, and Equations

Slope

3.4.3: uses a given linear equation with whole number coefficients and constants and a whole number solution to find the ordered pairs, organize the ordered pairs using a T-table, and plot the ordered pairs on the coordinate plane.

4.1.1: finds the probability of a compound event composed of two independent events in an experiment or simulation.

Independent and Dependent Events

Theoretical and Experimental Probability

4.1.2: explains and gives examples of simple or compound events in an experiment or simulation having probability of zero or one.

Independent and Dependent Events

4.1.3: uses a fraction, decimal, and percent to represent the probability of:

4.1.3.a: a simple event in an experiment or simulation;

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

4.1.3.b: a compound event composed of two independent events in an experiment or simulation.

Independent and Dependent Events

Theoretical and Experimental Probability

4.1.4: finds the probability of a simple event in an experiment or simulation using geometric models, e.g., Using spinners or dartboards, what is the probability of landing on 2? The answer is ¼,.25, or 25%.

Probability Simulations

Theoretical and Experimental Probability

4.2.1: organizes, displays, and reads quantitative (numerical) and qualitative (non-numerical) data in a clear, organized, and accurate manner including a title, labels, categories, and rational number intervals using these data displays :

4.2.1.a: frequency tables;

4.2.1.b: bar, line, and circle graphs;

Elevator Operator (Line Graphs)

Graphing Skills

Reaction Time 1 (Graphs and Statistics)

4.2.1.d: charts and tables;

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

4.2.1.e: stem-and-leaf plots (single);

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

4.2.1.f: scatter plots;

Correlation

Graphing Skills

Solving Using Trend Lines

Trends in Scatter Plots

4.2.1.g: box-and-whiskers plots.

Box-and-Whisker Plots

Reaction Time 2 (Graphs and Statistics)

4.2.2: selects and justifies the choice of data collection techniques (observations, surveys, or interviews) and sampling techniques (random sampling, samples of convenience, or purposeful sampling) in a given situation.

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

4.2.3: conducts experiments with sampling and describes the results.

4.2.5: identifies and determines the range and the quartiles of a rational number data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

4.2.6: identifies potential outliers within a set of data by inspection rather than formal calculation, e.g., consider the data set (1, 100, 101, 120, 140, 170); the outlier is 1.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 12/8/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.