|
5.NNR
Number and Number Relations
|
-
5.1
Differentiate between the terms factor and multiple, and prime and composite
-
5.2
Recognize, explain, and compute equivalent fractions for common fractions
-
5.3
Add and subtract fractions with common denominators and use mental math to determine whether the answer is reasonable
-
5.4
Compare positive fractions using number sense, symbols (i.e., <, =, >), and number lines
-
5.5
Read, explain, and write a numerical representation for positive improper fractions, mixed numbers, and decimals from a pictorial representation and vice versa
-
5.6
Select and discuss the correct operation for a given problem involving positive fractions using appropriate language such as sum, difference, numerator, and denominator
-
5.7
Select, sequence, and use appropriate operations to solve multi-step word problems with whole numbers
-
5.8
Use the whole number system (e.g., computational fluency, place value, etc.) to solve problems in real-life and other content areas
-
5.9
Use mental math and estimation strategies to predict the results of computations (i.e., whole numbers, addition and subtraction of fractions) and to test the reasonableness of solutions
-
5.10
Determine when an estimate is sufficient and when an exact answer is needed in reallife problems using whole numbers
-
5.11
Explain concepts of ratios and equivalent ratios using models and pictures in real-life problems (e.g., understand that 2/3 means 2 divided by 3)
-
Fractions and mixed numbers: Fractions of a number (Fourth grade - Q.7)
-
Ratios, proportions, and percents: Determine the ratio (Fifth grade - U.1)
-
Ratios, proportions, and percents: Ratio tables (Fifth grade - U.2)
-
Ratios, proportions, and percents: Ratios: word problems (Fifth grade - U.3)
-
Ratios, proportions, and percents: Equivalent ratios (Fifth grade - U.4)
-
Ratios, proportions, and percents: Proportions (Fifth grade - U.5)
-
Ratios, proportions, and percents: Unit rates and equivalent rates (Fifth grade - U.6)
-
Ratios, proportions, and percents: Scale drawings (Fifth grade - U.7)
|
|
5.ALG
Algebra
|
-
5.12
Find unknown quantities in number sentences by using mental math, backward reasoning, inverse operations (i.e., unwrapping), and manipulatives (e.g., tiles, balance scales)
-
5.13
Write a number sentence from a given physical model of an equation (e.g., balance scale)
-
5.14
Find solutions to one-step inequalities and identify positive solutions on a number line
|
|
5.MEA
Measurement
|
-
5.15
Model, measure, and use the names of all common units in the U.S. and metric systems
-
5.16
Apply the concepts of elapsed time in real-life situations and calculate equivalent times across time zones in real-life problems
-
5.17
Distinguish among the processes of counting, calculating, and measuring and determine which is the most appropriate strategy for a given situation
-
5.18
Estimate time, temperature, weight/mass, and length in familiar situations and explain the reasonableness of answers
-
5.19
Compare the relative sizes of common units for time, temperature, weight, mass, and length in real-life situations
-
5.20
Identify appropriate tools and units with which to measure time, mass, weight, temperature, and length
-
5.21
Measure angles to the nearest degree
-
5.22
Compare and estimate measurements between the U.S. and metric systems in terms of common reference points (e.g., l vs. qt., m vs. yd.)
-
5.23
Convert between units of measurement for length, weight, and time, in U.S. and metric, within the same system
|
|
5.GEO
Geometry
|
-
5.24
Use mathematical terms to classify and describe the properties of 2-dimensional shapes, including circles, triangles, and polygons
-
5.25
Identify and use appropriate terminology for transformations (e.g., translation as slide, reflection as flip, and rotation as turn)
-
5.26
Identify shapes that have rotational symmetry
-
5.27
Identify and plot points on a coordinate grid in the first quadrant
|
|
5.DAPDM
Data Analysis, Probability, and Discrete Math
|
-
5.28
Use various types of charts and graphs, including double bar graphs, to organize, display, and interpret data and discuss patterns verbally and in writing
-
Algebra: Function tables (Fifth grade - P.7)
-
Algebra: Convert graphs to input/output tables (Fifth grade - P.8)
-
Data, charts, and graphs: Line graphs (Fifth grade - R.2)
-
Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
-
Data, charts, and graphs: Pictographs (Fifth grade - R.4)
-
Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
-
Data, charts, and graphs: Stem-and-leaf plots (Fifth grade - R.6)
-
Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
-
Data, charts, and graphs: Histograms (Fifth grade - R.8)
-
Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
-
5.29
Compare and contrast different scales and labels for bar and line graphs
-
5.30
Organize and display data using spreadsheets, with technology
-
5.31
Compare and contrast survey data from two groups relative to the same question
-
5.32
Represent probabilities as common fractions and recognize that probabilities fall between 0 and 1, inclusive
|
|
5.PRF
Patterns, Relations, and Functions
|
-
5.33
Fill in missing elements in sequences of designs, number patterns, positioned figures, and quantities of objects
|
|