Grade 5 Math TEKS 5.4H:Solve Perimeter, Area, and Volume Problems

Learning Target: I can find the perimeter of figures.

Focuses On:

• Finding perimeter by adding all sides together
• Finding perimeter using the formula 2(l) + 2(w)
• Solving real world problems to find perimeter

Builds On:

4.5D:

Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

Next Level:

6.8D:

Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right triangular prisms where dimensions are positive rational numbers

Read More:

This lesson is designed to extend foundational understanding of perimeter.

The two instructional blocks are perimeter of rectangles and perimeter problem solving.

In the first instructional block, students move from adding all sides together to using the formula to calculate for perimeter.

The second instructional block has students solve for perimeter without a model in a real-world problem.

Intentional scaffolds are built throughout to support student understanding. Remedial pathways include heavy support to better understand how to utilize the formula and where each number comes from.

Learning Target: I can find the area of shapes and solve problems with algebraic reasoning including area.

Focuses On:

• Using the formula: length x width to calculate for area
• Additive area

Builds On:

4.5D:

Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

Next Level:

6.8D:

Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right triangular prisms where dimensions are positive rational numbers

Read More:

This lesson is designed to build upon the foundational understand of area and allow students to use the algorithm to solve for area.

The two instructional blocks in this lesson are area and additive area.

In the first instructional block, scaffolds and supports encourage understanding of area. Students are asked to calculate area using the formula but have visual models to support their understanding.

The second instructional block progresses into additive area of rectangular shapes.

Scaffolds are built throughout for struggling learners to reconnect with unit squares within a rectangle to make connections between the formula and the area of a rectangle.

Learning Target: I can solve problems related to perimeter and area.

Focuses On:

• Understanding the difference between area and perimeter
• Using the perimeter to find area
• Using area to find the perimeter

Builds On:

4.5D:

Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

Next Level:

6.8D:

Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right triangular prisms where dimensions are positive rational numbers

Read More:

This lesson is designed to extend understanding of area and perimeter and the difference between the two.

The two instructional blocks are perimeter vs area and area and perimeter problems.

The first instructional block has students use formulas to calculate the area and perimeter of the same object.

The second instructional block progresses in difficulty as it has students using the area to calculate perimeter and the perimeter to calculate area.

It is recommended to complete both lessons on area and perimeter prior to completing this lesson.

Learning Target: I can solve problems to find the volume of a rectangular prism by using formulas V=Bh and V=lwh.

Focuses On:

• Finding the volume of a rectangular prism by multiplying the area of the base by the height
• Calculating volume of a rectangular prism using length, width, and height
• Solving for volume in real world problems

Builds On:

3.6C:

Determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row.

3.7B:

Determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems.

4.5D:

Solve problems related to perimeter and area of rectangles where dimensions are whole numbers.

Next Level:

6.8D:

Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.

Read More:

This lesson is designed to support student understanding of the concept of volume and how to find the volume of rectangular prisms.

The two instructional blocks in this lesson are area of the base x height and calculating volume.

The first instructional block begins by showing students how to find volume by finding the area of the base of a rectangular prism and then multiplying that by the height. This helps to build a solid foundation of the concept of volume.

The second instructional block continues in complexity as students find volume using the formula, length x width x height. Students also apply their knowledge of volume to solve real world problems.