5MA.D.8 examine properties of polygons (e.g., triangles, quadrilaterals including kites, trapezoids, rectangles, squares, rhombuses, other parallelograms, pentagons, hexagons, octagons) and rectangular prisms; classify polygons by their properties; discover volume of right rectangular prisms (5.GSR.8)

5MA.A.5 write, interpret, and evaluate numerical expressions within real-life problems (5.NR.5)

• 8.c investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps; determine the total volume to solve problems (5.GSR.8.3)

• 8.d discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems (5.GSR.8.4)

• 5.a write, interpret, and evaluate simple (up to two operations) numerical expressions involving whole numbers with or without grouping symbols to represent actual situations (5.NR.5.1a)

• 8.e describe the impact of increasing or decreasing a side length in volume calculations (e.g.; if the height of a prism is increased by 2 units, what impact does that have on the volume of the rectangular prism?) (Extension)

• 8.g  create a product, based on an authentic student topic of interest, to demonstrate an understanding of volume concepts (Extension)

• 5.b write, interpret, and evaluate expressions that represent multi-step scenarios with the use of grouping symbols (e.g. On Monday, Peter baked 10 cookies and then he baked 12 cookies each day for the next 6 days. He dropped 3 cookies. Write an expression to interpret this situation.) (Extension)

5MA.A.1 use place value understanding to solve real-life, mathematical problems (5.NR.1)

5MA.A.4 read, write, and compare decimal numbers to the thousandths place; round decimal numbers to the hundredths place; add and subtract with decimal numbers to the hundredths place to solve relevant, mathematical problems (5.NR.4)

5MA.C.7 solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions (5.MDR.7)

• 4.a  read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form (e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000) and 347.392 = 300 + 40 + 7 + .3 + .09 +. 002) (5.NR.4.1)

• 1.a explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right (up to 100 times greater) and 1/10 of what it represents in the place to its left (up to 1/1000 of the value ) (5.NR.1.1)

• 1.b explain patterns in the placement of digits when multiplied or divided by a power of 10; use whole-number exponents to denote powers of 10, up to 10³ (5.NR.1.2)

• 7.a explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time (5.MDR.7.1)

• 7.b ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life (5.MDR.7.2)

• 7.c convert among units within the metric system and then apply these conversions to solve multi- step, practical problems (5.MDR.7.3)

• 7.d convert among units within relative sizes of measurement units within the customary measurement system (5.MDR.7.4)

• 7.e solve multi-step problems involving interpreting graphical displays (Extension)

• 7.f compare and contrast the use of the metric and customary systems in real-life (Extension)

• 7.g create a product, based on an authentic student topic of interest, to demonstrate an understanding of measurement and data reasoning (Extension)

Geometry & Volume (5MA.D.8; 8.c–e, g) 

• Polygon Scavenger Hunt: Look for shapes around the house (windows = rectangles, stop signs = octagons). Classify them by sides/angles.
  
  

• Build with Blocks/LEGO: Create rectangular prisms, count unit cubes, and talk about volume.
  
  

• Water Bottle Volume: Fill a small box or container with unit cubes (sugar cubes, blocks) to visualize volume before using the formula length × width × height.
  
  

• What If? Challenge: Ask, “If we doubled the height of this box, what happens to its volume?”
  
  

• Show What You Know: Kids can make a poster, slideshow, or model about “Volume in the Real World” (shipping boxes, aquariums, storage bins).

Numerical Expressions (5MA.A.5; 5.a–b) 

• Family Word Problems: Write scenarios together (e.g., “We bought 3 packs of 12 sodas, then drank 5. Write an expression.”).
  
  

• Order of Operations Fun: Solve expressions with parentheses and compare answers—let kids “check” parents’ math.
  
  

• Math in Recipes: “We need 4 batches of cookies with 12 cookies each. Then Dad eats 3. Write and solve an expression.”

Place Value & Decimals (5MA.A.1, 5MA.A.4; 4.a, 1.a–b) 

• Decimal Detective: Use grocery prices to read, write, and round decimals.
  
  

• Expanded Form Game: Break apart decimals (e.g., 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002).
  
  

• Money Math: Add/subtract with decimals using real-life contexts like allowance, receipts, or savings goals.
  
  

• Powers of 10 Practice: Use place value charts to show how digits shift when multiplied/divided by 10, 100, 1000.

Measurement & Data (5MA.C.7; 7.a–g) 

• Kitchen Math: Convert cups to pints, tablespoons to teaspoons, or grams to kilograms when cooking.
  
  

• Family Fitness Data: Record time for running laps, steps walked, or minutes spent reading. Graph results together.
  
  

• Metric vs. Customary Talk: Compare soda sold in liters vs. ounces, or height in feet vs. centimeters.
  
  

• Real-Life Conversions: Ask, “If our trip is 3 miles, how many feet is that?” or “If a recipe needs 2,000 mL of water, how many liters is that?”
  
  

• Graph It: Track weekly temperatures, rainfall, or family screen time. Create a bar graph, line plot, or pictograph to analyze.