Math Workshop

Data

Standard 3.MD.B.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and two step "how many more" and "how many less" problems using information presented in scaled bar graphs. 

Standard 3.MD.B.4 Generate measurement data by measuring lengths using rules marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units - whole numbers, halves, or quarters.

Liquid Volume and Mass

Standard 3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve word problems involving masses or volumes that are given in the same units. 

Time

Standard 3.MD.A.1 Tell and Write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time interval (elapsed time) in minutes, e.g., by representing the problem on a number line diagram.

Area

Standard 3.MD.C.5.A Recognize Area as an attribute of plane figures and understand concepts of area measurement. 

Standard 3.MD.C.6 Measure area by counting unit squares.

• Measure the area of a shape by counting the number of square units that cover a region.
• Students will utilize the formula Area = length x width
• Students will utilize the distributive property to find the area of a given shape.
• Students will compare different rectangles with the same perimeter to discover the change in perimeter.
• Students will compare different rectangles with different perimeters to discover the change in area.

Perimeter

Standard 3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

• Use standard units to find the perimeter of a shape.
• Find the unknown length of a side by utilizing the lengths of the other sides and the total perimeter of the shape.
• Different shapes can have the same perimeter
• Breaking problems into smaller problems to solve.

Geometry

Two-Dimensional Shapes

Standard 3.G.A.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals that do not belong to any of the subcategories.

• Identify and classify polygons.
• Identify and classify quadrilaterals.
• Classify shapes according to their attributes.
• Identify commonalities among objects or situations to make and test generalizations.
• Solve a problem by first solving a simpler problem.

Operations of Algebraic Thinking:

Multiplication and Division

Standard 3.OA.A.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

• Represent and solve problems involving multiplication.
• Multiply and divide within 100.
• Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Mathematical Practice - Students will...

• Make sense of problems and persevere in solving them.
• Reason abstractly and quantitatively.
• Construct viable arguments and critique the reasoning of others.
• Model with mathematics.
• Use appropriate tools strategically
• Attend to precision.
• Look for and make use of structure.
• Look for and express regularity in repeated reasoning.

Number Sense:

Addition and Subtraction

Standard 3.NBT.A.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

• Understanding that certain relationships or properties are always true for addition of whole numbers, and that these can be used to solve some addition problems.
• Understanding that there are different types of relationships between quantities that can be represented and found using subtraction.
• Understanding that some numbers  can be added mentally by decomposing them into calculations that are easy to do mentally.
• Understanding that some subtraction calculations can be changed so the resulting calculation is easy to do mentally.
• Understanding that there are different ways to estimate the sum and difference of two whole numbers.