Core Curriculum Content Standards

4.1.A: Number Sense

4.1.A.1: Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 6 pertain to these sets of numbers as well).

4.1.A.1.b: All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers

Comparing and Ordering Fractions

4.1.A.4: Explore the use of ratios and proportions in a variety of situations.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Geometric Probability - Activity A

Part:Part and Part:Whole Ratios

Polling: Neighborhood

Proportions and Common Multipliers

4.1.A.5: Understand and use whole-number percents between 1 and 100 in a variety of situations.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

4.1.A.6: Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents, Fractions and Decimals

4.1.A.7: Develop and apply number theory concepts in problem solving situations.

4.1.A.7.a: Primes, factors, multiples

Finding Factors with Area Models

4.1.A.8: Compare and order numbers.

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

4.1.B: Numerical Operations

4.1.B.2: Construct, use, and explain procedures for performing calculations with fractions and decimals with:

4.1.B.2.a: Pencil-and-paper

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

4.1.B.2.b: Mental math

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

4.1.B.8: Understand and apply the standard algebraic order of operations for the four basic operations, including appropriate use of parentheses.

4.1.C: Estimation

4.1.C.1: Use a variety of strategies for estimating both quantities and the results of computations.

Estimating Population Size

Estimating Sums and Differences

4.2.A: Geometric Properties

4.2.A.1: Understand and apply concepts involving lines and angles.

4.2.A.1.b: Properties of parallel, perpendicular, and intersecting lines

Construct Parallel and Perpendicular Lines

4.2.A.1.c: Sum of the measures of the interior angles of a triangle is 180°

Investigating Angle Theorems - Activity A

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

4.2.A.2: Identify, describe, compare, and classify polygons and circles.

4.2.A.2.a: Triangles by angles and sides

Classifying Triangles

Isosceles and Equilateral Triangles

Triangle Angle Sum - Activity A

4.2.A.2.b: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi

Area of Parallelograms - Activity A

Classifying Quadrilaterals - Activity A

4.2.A.2.c: Polygons by number of sides.

4.2.A.2.d: Equilateral, equiangular, regular

Classifying Triangles

Isosceles and Equilateral Triangles

4.2.A.2.e: All points equidistant from a given point form a circle

4.2.A.4: Understand and apply the concepts of congruence and symmetry (line and rotational).

4.2.A.5: Compare properties of cylinders, prisms, cones, pyramids, and spheres.

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.A.7: Identify a three-dimensional shape with given projections (top, front and side views).

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.2.A.8: Identify a three-dimensional shape with a given net (i.e., a flat pattern that folds into a 3D shape).

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.B: Transforming Shapes

4.2.B.1: Use a translation, a reflection, or a rotation to map one figure onto another congruent figure.

Constructing Congruent Segments and Angles

Rotations, Reflections and Translations

4.2.B.2: Recognize, identify, and describe geometric relationships and properties as they exist in nature, art, and other real-world settings.

4.2.C: Coordinate Geometry

4.2.C.1: Create geometric shapes with specified properties in the first quadrant on a coordinate grid.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

Points in the Coordinate Plane - Activity A

4.2.E: Measuring Geometric Objects

4.2.E.2: Develop and apply strategies and formulas for finding perimeter and area.

4.2.E.2.a: Triangle, square, rectangle, parallelogram, and trapezoid

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.2.E.2.b: Circumference and area of a circle

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

4.2.E.3: Develop and apply strategies and formulas for finding the surface area and volume of rectangular prisms 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.E.4: Recognize that shapes with the same perimeter do not necessarily have the same area and vice versa.

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.2.E.5: Develop informal ways of approximating the measures of familiar objects (e.g., use a grid to approximate the area of the bottom of one's foot).

Area of Parallelograms - Activity A

Rectangle: Perimeter and Area

4.3.A: Patterns

4.3.A.1: Recognize, describe, extend, and create patterns involving whole numbers and rational numbers.

4.3.A.1.a: Descriptions using tables, verbal rules, simple equations, and graphs

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

Introduction to Functions

Using Algebraic Equations

Using Algebraic Expressions

Using Tables, Rules and Graphs

4.3.A.1.b: Formal iterative formulas (e.g., NEXT = NOW * 3)

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

4.3.A.1.c: Recursive patterns, including Pascal’s Triangle (where each entry is the sum of the entries above it) and the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, . . . (where NEXT = NOW + PREVIOUS)

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

4.3.B: Functions and Relationships

4.3.B.1: Describe the general behavior of functions given by formulas or verbal rules (e.g., graph to determine whether increasing or decreasing, linear or not).

Using Algebraic Equations

Using Algebraic Expressions

Using Tables, Rules and Graphs

4.3.C: Modeling

4.3.C.1: Use patterns, relations, and linear functions to model situations.

4.3.C.1.a: Using variables to represent unknown quantities

4.3.C.1.b: Using concrete materials, tables, graphs, verbal rules, algebraic expressions/equations/inequalities

4.3.C.2: Draw freehand sketches of graphs that model real phenomena and use such graphs to predict and interpret events.

4.3.C.2.a: Changes over time

4.3.C.2.b: Relations between quantities

4.3.C.2.c: Rates of change (e.g., when is plant growing slowly/rapidly, when is temperature dropping most rapidly/slowly)

4.3.D: Procedures

4.3.D.1: Solve simple linear equations with manipulatives and informally.

4.3.D.1.a: Whole-number coefficients only, answers also whole numbers

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

4.3.D.1.b: Variables on one or both sides of equation

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

4.4.A: Data Analysis

4.4.A.2: Read, interpret, select, construct, analyze, generate questions about, and draw inferences from displays of data.

4.4.A.2.a: Bar graph, line graph, circle graph, table, histogram

Histograms

Populations and Samples

4.4.A.2.b: Range, median, and mean

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

4.4.B: Probability

4.4.B.3: Explore compound events.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

4.4.B.4: Model situations involving probability using simulations (with spinners, dice) and theoretical models.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

4.4.B.5: Recognize and understand the connections among the concepts of independent outcomes, picking at random, and fairness.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Polling: Neighborhood

4.4.C: Discrete Mathematics-Systematic Listing and Counting

4.4.C.1: Solve counting problems and justify that all possibilities have been enumerated without duplication.

4.4.C.1.a: Organized lists, charts, tree diagrams, tables

Box-and-Whisker Plots

Histograms

Line Plots

Permutations and Combinations

Scatter Plots - Activity A

Stem-and-Leaf Plots

4.4.C.2: Apply the multiplication principle of counting.

4.4.C.2.b: Number of ways a specified number of items can be arranged in order (concept of permutation)

4.4.C.3: List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once).

Correlation last revised: 11/13/2008