CUBES Strategy for Solving Word Problems

Standards

What We'll Be Learning In Third Grade

Mathematical Practices

3.MPDisplay perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.

3.MP.1Make sense of problems and persevere in solving them.

3.MP.2Reason abstractly and quantitatively.

3.MP.3Construct viable arguments and critique the reasoning of others.

3.MP.4Model with mathematics.

3.MP.5Use appropriate tools strategically.

3.MP.6Attend to precision.

3.MP.7Look for and make use of structure.

3.MP.8Look for and express regularity in repeated reasoning.

Numerical Reasoning

3.NR.1Use place value reasoning to represent, read, write, and compare numerical values up to 10,000 and round whole numbers up to 1,000.

3.NR.1.1Read and write multi-digit whole numbers up to 10,000 to the thousands using base-ten numerals and expanded form.

3.NR.1.2Use place value reasoning to compare multi-digit numbers up to 10,000, using >, =, and < symbols to record the results of comparisons.

3.NR.1.3Use place value understanding to round whole numbers within up to 1000 to the nearest 10 or 100.

Numerical Reasoning With Fractions

3.NR.4Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.

3.NR.4.1Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction. Use parts of a whole, parts of a set, points on a number line, distances on a number line and area models.

3.NR.4.2Compare two unit fractions by flexibly using a variety of tools and strategies.

3.NR.4.3Represent fractions, including fractions greater than one, in multiple ways.

3.NR.4.4Recognize and generate simple equivalent fractions.

Patterning & Algebraic Reasoning (Add &Subtract)

3.PAR.2Use part-whole strategies to represent and solve real-life problems involving addition and subtraction with whole numbers up to 10,000.

3.PAR.2.1Fluently add and subtract within 1000 to solve problems.

3.PAR.2.2Apply part-whole strategies, properties of operations and place value understanding, to solve problems involving addition and subtraction within 10,000. Represent these problems using equations with a letter standing for the unknown quantity. Justify solutions.

Patterning & Algebraic Reasoning (Multiply &Divide)

3.PAR.3Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.

3.PAR.3.1Describe, extend, and create numeric patterns related to multiplication. Make predictions related to the patterns.

3.PAR.3.2Represent single digit multiplication and division facts using a variety of strategies. Explain the relationship between multiplication and division.

3.PAR.3.3Apply properties of operations (i.e., commutative property, associative property, distributive property) to multiply and divide within 100.

3.PAR.3.4Use the meaning of the equal sign to determine whether expressions involving addition, subtraction, and multiplication are equivalent.

3.PAR.3.5Use place value reasoning and properties of operations to multiply one-digit whole numbers by multiples of 10, in the range 10-90.

3.PAR.3.6Solve practical, relevant problems involving multiplication and division within 100 using part-whole strategies, visual representations, and/or concrete models.

3.PAR.3.7Use multiplication and division to solve problems involving whole numbers to 100. Represent these problems using equations with a letter standing for the unknown quantity. Justify solutions.

Measurement and data reasoning

3.MDR.5Solve real-life, mathematical problems involving length, liquid volume, mass, and time and analyze graphical displays of data to answer relevant questions.

3.MDR.5.1Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.

3.MDR.5.2Tell and write time to the nearest minute and estimate time to the nearest fifteen minutes (quarter hour) from the analysis of an analog clock.

3.MDR.5.3Solve meaningful problems involving elapsed time, including intervals of time to the hour, half hour, and quarter hour where the times presented are only on the hour, half hour, or quarter hour within a.m. or p.m. only.

3.MDR.5.4Use rulers to measure lengths in halves and fourths (quarters) of an inch and a whole inch.

3.MDR.5.5Estimate and measure liquid volumes, lengths and masses of objects using customary units. Solve problems involving mass, length, and volume given in the same unit, and reason about the relative sizes of measurement units within the customary system.

Geometric & Spatial reasoning (Shapes)

3.GSR.6Identify the attributes of polygons, including parallel segments, perpendicular segments, right angles, and symmetry.

3.GSR.6.1Identify perpendicular line segments, parallel line segments, and right angles, identify these in polygons, and solve problems involving parallel line segments, perpendicular line segments, and right angles.

3.GSR.6.2Classify, compare, and contrast polygons, with a focus on quadrilaterals, based on properties. Analyze specific 3-dimensional figures to identify and describe quadrilaterals as faces of these figures.

3.GSR.6.3Identify lines of symmetry in polygons.

Geometric & Spatial reasoning (area &Perimeter)

3.GSR.7Identify area as a measurable attribute of rectangles and determine the area of a rectangle presented in real-life, mathematical problems.

3.GSR.7.1Investigate area by covering the space of rectangles presented in realistic situations using multiple copies of the same unit, with no gaps or overlaps, and determine the total area (total number of units that covered the space).

3.GSR.7.2Determine the area of rectangles (or shapes composed of rectangles) presented in relevant problems by tiling and counting.

3.GSR.7.3Discover and explain how area can be found by multiplying the dimensions of a rectangle.

3.GSR.8Determine the perimeter of a polygon presented in real-life, mathematical problems.

3.GSR.8.1Determine the perimeter of a polygon and explain that the perimeter represents the distance around a polygon. Solve problems involving perimeters of polygons.

3.GSR.8.2Investigate and describe how rectangles with the same perimeter can have different areas or how rectangles with the same area can have different perimeters.