53

Standards in this Framework

Standard	Lessons
3.1(A) Apply mathematics to problems arising in everyday life, society, and the workplace.
3.1(B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
3.1(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
3.1(D) Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.	Makey Makey®: Graphing Points on a Coordinate Plane micro:bit®: Graphing Points on a Coordinate Plane
3.1(E) Create and use representations to organize, record, and communicate mathematical ideas.	Makey Makey®: Graphing Points on a Coordinate Plane micro:bit®: Graphing Points on a Coordinate Plane
3.1(F) Analyze mathematical relationships to connect and communicate mathematical ideas.
3.1(G) Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
3.2(A) Compose and decompose numbers up to 100,000 using objects, pictorial models, and expanded notation.	Naming Numbers Game
3.2(B) Describe the mathematical relationships found in the base-10 place value system through the hundred thousands place.
3.2(C) Represent a number on a number line and use relative size to round whole numbers.	micro:bit® Rounding to the Nearest Ten micro:bit® Rounding to the Nearest Hundred micro:bit® Rounding with Decimals
3.2(D) Compare and order whole numbers up to 100,000 using the symbols >, <, or =.	Naming Numbers Game
3.3(A) Represent fractions with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models.	Unit Fractions with Variables
3.3(B) Determine the corresponding fraction given a specified point on a number line.	Unit Fractions with Variables
3.3(C) Explain that a unit fraction 1/b represents one part of a whole that is partitioned into b equal parts.	Animating Unit Fractions Unit Fractions with Variables
3.3(D) Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b.
3.3(E) Solve problems involving partitioning an object among two or more recipients using pictorial representations.
3.3(F) Represent equivalent fractions using a variety of objects and pictorial models, including number lines.	Animating Unit Fractions
3.3(G) Explain that two fractions are equivalent if they represent the same portion of a whole.
3.3(H) Compare two fractions having the same numerator or denominator by reasoning about their sizes.
3.4(A) Solve one-step and two-step problems involving addition and subtraction within 1,000 using place value and properties of operations.	Adding with Loops
3.4(B) Round to the nearest 10 or 100 or use compatible numbers to estimate solutions.
3.4(C) Determine the value of a collection of coins and bills.
3.4(D) Determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10.
3.4(E) Represent multiplication facts using repeated addition, equal groups, arrays, area models, and number lines.	Multiplication and Conditionals Animating Sprites with Multiplication Multiplication Quiz Game Animating Sprites with Factors
3.4(F) Recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts.	Multiplication and Conditionals Animating Sprites with Multiplication Multiplication Quiz Game Animating Sprites with Factors
3.4(G) Use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number.	Multi-digit Multiplication and Conditionals
3.4(H) Determine the number of objects in each group when a set is partitioned into equal shares.
3.4(I) Determine if a number is even or odd using divisibility rules.
3.4(J) Determine a quotient using the relationship between multiplication and division.	Animating Sprites with Division
3.4(K) Solve one-step and two-step problems involving multiplication and division within 100 using objects, pictorial models, or properties of operations.
3.5(A) Represent one- and two-step problems involving addition and subtraction using pictorial models, number lines, and equations.	Adding with Loops
3.5(B) Represent and solve multiplication and division problems within 100 using arrays, strip diagrams, and equations.	Multiplication and Conditionals Animating Sprites with Multiplication Multi-digit Multiplication and Conditionals Multiplication Quiz Game Animating Sprites with Factors
3.5(C) Describe a multiplication expression as a comparison, such as 3 × 24 represents 3 times as much as 24.
3.5(D) Determine the unknown whole number in a multiplication or division equation when the unknown is a missing factor or product.	Multiplication and Conditionals Evaluate Algebraic Equations Animating Sprites with Factors
3.5(E) Represent real-world relationships using number pairs in a table and verbal descriptions.	Evaluate Algebraic Equations
3.6(A) Classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes.	Classifying Shapes by Category Classifying Shapes Using Lines and Angles Classifying Quadrilaterals in a Hierarchy VEX GO®: Lines and Angles
3.6(B) Recognize rhombuses, parallelograms, trapezoids, rectangles, and squares as quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories.	Classifying Shapes by Category Classifying Shapes Using Lines and Angles Classifying Quadrilaterals in a Hierarchy VEX GO®: Lines and Angles
3.6(C) Determine the area of rectangles with whole number side lengths using multiplication.	Area of a Rectangle with Tiles House Design with Area and Perimeter
3.6(D) Decompose composite figures formed by rectangles into non-overlapping rectangles to determine the total area.	Area of a Rectangle with Tiles
3.6(E) Decompose congruent two-dimensional figures into equal parts and express the area of each part as a unit fraction of the whole.
3.7(A) Represent fractions of halves, fourths, and eighths as distances from zero on a number line.	Measuring Lengths Unit Fractions with Variables
3.7(B) Determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths.	House Design with Area and Perimeter Modeling Perimeter with Finch Robot®
3.7(C) Solve problems involving addition and subtraction of time intervals in minutes.
3.7(D) Determine when it is appropriate to use measurements of liquid volume or weight.	Measuring Lengths
3.7(E) Determine liquid volume or weight using appropriate units and tools.	VEX GO®: Measurement
3.8(A) Summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals.
3.8(B) Solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals.
3.9(A) Explain the connection between human capital/labor and income.
3.9(B) Describe the relationship between the availability or scarcity of resources and how that impacts cost.
3.9(C) Identify the costs and benefits of planned and unplanned spending decisions.
3.9(D) Explain that credit is used when wants or needs exceed the ability to pay and that it is the borrower's responsibility to pay it back, usually with interest.
3.9(E) List reasons to save and explain the benefit of a savings plan, including for college.
3.9(F) Identify decisions involving income, spending, saving, credit, and charitable giving.