Core Curriculum Content Standards

4.1.6 A: Number Sense

4.1.6 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).

4.1.6 A.1.a: All integers

Integers, Opposites, and Absolute Values

4.1.6 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

Fraction Artist 1 (Area Models of Fractions)

Fraction Artist 2 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Modeling Fractions (Area Models)

No Alien Left Behind (Division with Remainders)

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

4.1.6 A.1.c: All decimals

Comparing and Ordering Decimals

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Percents, Fractions, and Decimals

Sums and Differences with Decimals

Treasure Hunter (Decimals on the Number Line)

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

Beam to Moon (Ratios and Proportions)

Estimating Population Size

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

Percents and Proportions

Proportions and Common Multipliers

Road Trip (Problem Solving)

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

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Real-Time Histogram

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

Dividing Mixed Numbers

Estimating Sums and Differences

Fraction Garden (Comparing Fractions)

Improper Fractions and Mixed Numbers

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

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

Percents, Fractions, and Decimals

Toy Factory (Set Models of Fractions)

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

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

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Operations with Radical Expressions

4.1.6 A.7.b: Common multiples, common factors

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Operations with Radical Expressions

4.1.6 A.8: Compare and order numbers.

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Rational Numbers, Opposites, and Absolute Values

4.1.6 B: Numerical Operations

4.1.6 B.1: Recognize the appropriate use of each arithmetic operation in problem situations.

Adding Whole Numbers and Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Multiplying Decimals (Area Model)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

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

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

Dividing Fractions

Dividing Mixed Numbers

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Modeling Fractions (Area Models)

Multiplying with Decimals

Sums and Differences with Decimals

4.1.6 B.2.b: Mental math

Adding Fractions (Fraction Tiles)

Adding Whole Numbers and Decimals (Base-10 Blocks)

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Multiplying Decimals (Area Model)

Multiplying Fractions

Multiplying Mixed Numbers

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Sums and Differences with Decimals

4.1.6 B.2.c: Calculator

Dividing Fractions

Dividing Mixed Numbers

Improper Fractions and Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

4.1.6 B.3: Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit number by a 2-digit number.

No Alien Left Behind (Division with Remainders)

4.1.6 B.5: Find squares and cubes of whole numbers.

Operations with Radical Expressions

Square Roots

4.1.6 B.6: Check the reasonableness of results of computations.

Estimating Sums and Differences

4.1.6 B.7: Understand and use the various relationships among operations and properties of operations.

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

Order of Operations

Solving Algebraic Equations II

4.1.6 C: Estimation

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

Estimating Sums and Differences

Multiplying Decimals (Area Model)

4.1.6 C.2: Recognize when an estimate is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.

Multiplying Decimals (Area Model)

4.1.6 C.3: Determine the reasonableness of an answer by estimating the result of operations.

Adding Whole Numbers and Decimals (Base-10 Blocks)

Estimating Sums and Differences

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.2.6 A: Geometric Properties

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

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

Concurrent Lines, Medians, and Altitudes

Parallel, Intersecting, and Skew Lines

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

Polygon Angle Sum

Triangle Angle Sum

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

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

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Isosceles and Equilateral Triangles

Triangle Angle Sum

Triangle Inequalities

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

Area of Parallelograms

Perimeter and Area of Rectangles

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

4.2.6 A.3: Identify similar figures.

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

Holiday Snowflake Designer

Quilting Bee (Symmetry)

Rock Art (Transformations)

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

Pyramids and Cones

Surface and Lateral Areas of Pyramids and Cones

4.2.6 A.6: Identify, describe, and draw the faces or shadows (projections) of three-dimensional geometric objects from different perspectives.

4.2.6 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 Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

4.2.6 B: Transforming Shapes

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

Rock Art (Transformations)

Rotations, Reflections, and Translations

4.2.6 C: Coordinate Geometry

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

Points in the Coordinate Plane

4.2.6 D: Units of Measurement

4.2.6 D.1: Select and use appropriate units to measure angles, area, surface area, and volume.

Area of Triangles

Balancing Blocks (Volume)

Fido's Flower Bed (Perimeter and Area)

Surface and Lateral Areas of Prisms and Cylinders

4.2.6 D.2: Use a scale to find a distance on a map or a length on a scale drawing.

Points in the Coordinate Plane

4.2.6 D.3: Convert measurement units within a system (e.g., 3 feet = ___ inches).

4.2.6 D.4: Know approximate equivalents between the standard and metric systems (e.g., one kilometer is approximately 6/10 of a mile).

4.2.6 E: Measuring Geometric Objects

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

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

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

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

Circumference and Area of Circles

4.2.6 E.3: Develop and apply strategies and formulas for finding the surface area and volume of rectangular prisms and cylinders.

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

4.2.6 E.4: Recognize that shapes with the same perimeter do not necessarily have the same area and vice versa.

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

4.2.6 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

Fido's Flower Bed (Perimeter and Area)

4.3.6 A: Patterns

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

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

Arithmetic Sequences

Geometric Sequences

4.3.6 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

4.3.6 B: Functions and Relationships

4.3.6 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).

Arithmetic Sequences

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 3 (Functions and Problem Solving)

Points, Lines, and Equations

Slope-Intercept Form of a Line

4.3.6 C: Modeling

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

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

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

Compound Interest

Multiplying with Decimals

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

4.3.6 D: Procedures

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

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

Modeling and Solving Two-Step Equations

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

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

4.3.6 D.2: Understand and apply the properties of operations and numbers.

4.3.6 D.2.a: Distributive property

Chocomatic (Multiplication, Arrays, and Area)

Equivalent Algebraic Expressions II

Square Roots

4.3.6 D.3: Evaluate numerical expressions.

Order of Operations

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

4.4.6 A: Data Analysis

4.4.6 A.1: Collect, generate, organize, and display data.

4.4.6 A.1.a: Data generated from surveys

Describing Data Using Statistics

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Movie Reviewer (Mean and Median)

Polling: City

Polling: Neighborhood

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

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

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

Graphing Skills

Histograms

Mascot Election (Pictographs and Bar Graphs)

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

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

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

4.4.6 B: Probability

4.4.6 B.1: Determine probabilities of events.

4.4.6 B.1.b: Multiplication rule for probabilities

Independent and Dependent Events

4.4.6 B.1.c: Probability of certain event is 1 and of impossible event is 0

Spin the Big Wheel! (Probability)

4.4.6 B.1.d: Probabilities of event and complementary event add up to 1

Geometric Probability

Theoretical and Experimental Probability

4.4.6 B.2: Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag).

4.4.6 B.2.a: Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

4.4.6 B.2.b: Given data obtained experimentally, what is the likely distribution of items in the bag

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

4.4.6 B.3: Explore compound events.

Independent and Dependent Events

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

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

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

Polling: Neighborhood

Probability Simulations

4.4.6 C: Discrete Mathematics-Systematic Listing and Counting

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

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

4.4.6 C.1.b: Venn diagrams

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

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

4.4.6 C.2.c: Number of ways of selecting a slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21)

4.4.6 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: 5/18/2018