Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
M.3.16
Fully covered
Tell and write time to the nearest minute, measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes (e.g., by representing the problem on a number line diagram).
- Tell time on the number line
- Tell time to the nearest minute
- Telling time review
- Telling time to the nearest minute (labeled clock)
- Telling time to the nearest minute (unlabeled clock)
- Telling time with number line
- Telling time word problems (within the hour)
- Time differences (within 60 minutes)
- Time differences example
- Time word problem: puzzle
- Time word problem: travel time
- Time word problems with number line
M.3.17
Fully covered
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 one-step word problems involving masses or volumes that are given in the same units (e.g., by using drawings, such as a beaker with a measurement scale) to represent the problem.
- Estimate mass (grams and kilograms)
- Estimate volume (milliliters and liters)
- Understanding mass (grams and kilograms)
- Understanding volume (liters)
- Word problems with mass
- Word problems with mass
- Word problems with volume
- Word problems with volume
Represent and interpret data.
M.3.18
Fully covered
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 (e.g., draw a bar graph in which each square in the bar graph might represent 5 pets).
- Create bar graphs
- Create picture graphs (picture more than 1)
- Creating bar graphs
- Creating picture and bar graphs
- Creating picture graphs
- Interpreting bar graphs: colors
- Interpreting picture graphs: notebook
- Interpreting picture graphs: paint
- Read bar graphs
- Read bar graphs (2-step problems)
- Read picture graphs
- Read picture graphs (multi-step problems)
- Reading bar graphs
- Reading bar graphs: movies
- Reading bar graphs: multi-step
- Reading picture graphs
- Reading picture graphs: multi-step
- Solving problems with picture graphs
M.3.19
Fully covered
Generate measurement data by measuring lengths using rulers 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.
- Measure lengths to nearest 1/4 unit
- Measuring lengths to nearest 1/4 unit
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
M.3.20.a
Fully covered
A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area and can be used to measure area.
- Compare area with unit squares
- Find area by counting unit squares
- Intro to area and unit squares
- Measuring rectangles with different unit squares
- Understand area
M.3.20.b
Fully covered
A plane figure which can be covered without gaps or overlaps by b unit squares is said to have an area of b square units.
- Area and perimeter situations
- Compare area with unit squares
- Find area by counting unit squares
- Intro to area and unit squares
- Understand area
M.3.21
Mostly covered
Measure areas by counting unit squares (square cm, square m, square in, square ft. and improvised units).
- Area of rectangles review
- Create rectangles with a given area
- Creating rectangles with a given area 1
- Creating rectangles with a given area 2
- Find area by counting unit squares
- Measuring rectangles with different unit squares
M.3.22.a
Fully covered
Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
- Area of rectangles review
- Area of rectangles with partial arrays
- Counting unit squares to find area formula
- Creating rectangles with a given area 1
- Creating rectangles with a given area 2
- Transition from unit squares to area formula
- Transitioning from unit squares to area formula
M.3.22.b
Fully covered
Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
- Area of rectangles
- Compare areas by multiplying
- Comparing areas of plots of land
- Find a missing side length when given area
- Finding missing side when given area
M.3.22.c
Fully covered
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
- Area and the distributive property
- Area and the distributive property
M.3.22.d
Fully covered
Recognize area as additive and find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
- Decompose figures to find area
- Decomposing shapes to find area: add
- Decomposing shapes to find area: grids
- Decomposing shapes to find area: subtract
- Understand decomposing figures to find area
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
M.3.23
Mostly covered
Solve real world and mathematical problems involving 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.
- Area and perimeter situations
- Area and perimeter word problems
- Compare area and perimeter
- Comparing areas and perimeters of rectangles
- Find a missing side length when given perimeter
- Find perimeter by counting unit squares
- Find perimeter by counting units
- Find perimeter when a side length is missing
- Find perimeter when given side lengths
- Finding missing side length when given perimeter
- Finding perimeter when a side length is missing
- Perimeter of a shape
- Perimeter review
- Perimeter word problem: skating rink
- Perimeter word problem: tables
- Perimeter word problems
- Perimeter: introduction
