Multiplying by \(> 1\) stretches; multiplying by \(< 1\) shrinks.
A
15. Unit Fraction → Def A
Fraction with numerator 1 (\(\frac{1}{b}\)). Building block of all fractions.
F
16. Mixed Number → Def F
Whole number plus fractional part (\(3\frac{1}{2} = \frac{7}{2}\)).
E
17. Reciprocal → Def E
Multiplicative inverse: product equals 1. Inverted fraction.
4
7 Points
C
18. Volume → Def C
3D space measure: \(V = l \times w \times h\).
G
19. Cubic Unit → Def G
Cube of 1 unit side (\(\text{cm}^3, \text{in}^3\)).
A
20. Coordinate Plane → Def A
Perpendicular x-axis and y-axis grid system.
D
21. Origin → Def D
Point \((0,0)\) where x-axis and y-axis cross.
E
22. Ordered Pair → Def E
\((x, y)\): x = move right, y = move up.
B
23. Parallelogram → Def B
4-sided polygon with 2 pairs of parallel sides.
F
24. Hierarchy → Def F
Nested classification: e.g., All squares are rectangles, and all rectangles are parallelograms!
Exceeding (Level 4) 23–24 correct: Mastery of all definitions and symbolic representations.
Proficient (Level 3) 20–22 correct: Ready for NY state assessment item vocabulary.
Target Intervention < 20 correct: Review slides and concrete visual anchor charts.
NYS Next Generation Mathematics Standards — Grade 5 Key Page 2 of 2
A shared multiple of denominators. You cannot add or subtract fractions until they have identical units.
\(\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}\)
Estimation Tool
Easy reference numbers (\(0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1\)) used to assess reasonableness.
\(\frac{7}{8} \approx 1\) and \(\frac{2}{9} \approx 0 \implies \text{Sum } \approx 1\)
Unit Fraction: Any fraction with a numerator of 1 (e.g., \(\frac{1}{5}\)). Every fraction is built of unit fractions!
Domain 5.NF
Comparing the product to a factor based on multiplier size.
Factor > 1
Multiplying by a number greater than 1 makes the result larger.
\(5 \times 1\frac{1}{2} > 5\)
Factor = 1
Multiplying by 1 (or \(\frac{4}{4}\)) preserves the exact same size.
\(5 \times \frac{4}{4} = 5\)
Factor < 1
Multiplying by a proper fraction makes the result smaller.
\(5 \times \frac{2}{3} < 5\)
Reciprocal: Two numbers whose product is 1 (e.g. \(\frac{3}{5} \times \frac{5}{3} = 1\)). Used in fraction division.
Domain 5.MD
Measuring capacity with unit cubes without gaps or overlaps.
Definition
The total amount of solid 3-dimensional space contained inside a closed boundary, measured in cubic units (\(\text{cm}^3, \text{in}^3\)).
1 Cubic Unit = Cube with length, width, and height of 1 unit.
Formulas
For rectangular prisms, multiply 3 dimensions or multiply base area (\(B\)) by height:
\(V = \text{length} \times \text{width} \times \text{height}\)
\(V = \text{Base Area } (B) \times \text{height}\)
Composite Solids: Break complex shapes into non-overlapping rectangular prisms and add their volumes!
Domain 5.G
Navigating 2D space using intersecting perpendicular axes.
Starting Point
Point \((0,0)\) where the x-axis and y-axis intersect.
Start here at \((0,0)\)
First Value: x
Distance traveled horizontally along the flat ground.
In \((4, 7)\) → Move 4 Right
Second Value: y
Distance traveled vertically up into the air.
In \((4, 7)\) → Move 7 Up
Memory Hook: "Walk before you fly!" (Go along the x-axis first, then fly up the y-axis).
Domain 5.G
Classifying 2D figures into categories and subcategories based on properties.
Any 4-sided closed 2D polygon.
Top Category
2 pairs of parallel opposite sides.
Subcategory
4 right angles (rect.) OR 4 equal sides (rhombus).
Specialized
Both 4 right angles AND 4 equal sides!
The Ultimate
Key NY Principle: A square is always a rectangle and a rhombus, but a rectangle is not always a square!
Mastery Ready Vocabulary Challenge
1 Read each definition carefully before choosing.
2 Look out for key math clues like "parts of a whole" or "3D space".
3 Write each capital letter clearly in the designated answer box.
Now open your Math Vocab Match Worksheet Good luck, Math Masters!
