Measurement

Standard
1     Understand measurable attributes of objects and the units, systems, and processes of measurement

Benchmarks
1.1 Measure, using appropriate instruments and appropriate units, length, capacity, weight, time and temperature
1.2 Count, read, write, and estimate amounts of money up to $5.00
1.3 Find many ways to represent a given amount of money less than $1.00
1.4 Tell time to the minute
1.5 Measure elapsed time and measure time before the hour

Standard
2 Apply appropriate techniques, tools, and formulas to determine measurements

Benchmarks
2.1 Estimate measures of length, weight, volume, capacity, and temperature
2.2 Measure length of small objects (to the nearest inch, 0.5 inch, and cm)
2.3 Measure using concrete materials such as string to find perimeter squares or tiles to find area and cubes to find volume
2.4 Estimate then measure length, capacity, and weight
 

Number Operations

Standard
 1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems

Benchmarks
1.1 Read, write, compare, order, and identify place value through 999,999
1.2 Translate words to numerals and numerals to words up to 999,999
1.3 Recognize different names for numbers through 999,999 including expanded notation forms
1.4 Identify and write fractions to describe parts of a whole using both regions and discrete sets (halves, thirds, fourths, sixths, eighths, and tenths)
1.5 Compare fractions with like denominators and explore comparison of fractions with unlike denominators using models
1.6 Identify the fraction or whole number corresponding to a given point on the number line
1.7 Relate models separated into 10 equivalent parts to the language of fractions and decimals
 

Standard
2   Understand meanings of operations and how they relate to one another

Benchmarks
2.1 Write a number sentence for an array or a set of equal groups
2.2 Write a number sentences for word problems involving multiplication/division
2.3 Relate concrete and pictorial models to multiplication and division

Standard
3 Compute fluently and make reasonable estimates

Benchmarks
3.1 Master multiplication facts involving 0’s, 1’s, 2’s, 5’s, 9’s
3.2 Master division facts involving 0’s, 1’s, 2’s, 5’s, 9’s
3.3 Use known facts to help determine answers to unknown ones (36+8=30+14=44, etc)
3.4 Add and subtract three-digit numbers with and without regrouping
3.5 Multiply two-digit numbers by 1-digit numbers
3.6 Explore the relationship of quotients and remainders
3.7 Apply estimation strategies (front-end, rounding) to predict results to addition and subtraction
3.8 Develop mental math skills in all four operations
3.9 Recognize when calculator usage is appropriate
3.10 Use problem-solving strategies such as diagrams, organized lists, manipulatives, act out, and guess and check
 
 

Geometry

Analyze characteristics and properties of two and three dimensional geometric shapes and
develop mathematical arguments about geometric relationships

Recognize properties (sides, angles, corners, vertices) of geometric shapes and recognize and name solid figures
(cylinders, cones, spheres, prisms)

Use geometric models to solve problems in other areas of mathematics, such as number and measurement

Sort geometric shapes according to same shape (similarity) and same size and same shape (congruent)

Determine whether two figures are congruent and construct congruent figures with physical materials (geoboards,
tiles, pattern blocks)

Specify locations and describe spatial relationships using coordinate geometry and other
representational systems

Determine and graph a location using ordered pairs of numbers

Locate points on a map or grid

Make and use coordinate systems to specify locations and to describe paths

Find the distance between points along horizontal and vertical lines of a coordinate system

Apply transformations and use symmetry to analyze mathematical situations

Predict and describe the results of sliding, flipping, and turning two-dimensional shapes

Describe a motion or series of motions that will show that two shapes are congruent

Identify and describe  line and rotational symmetry in two and three dimensional shapes

Use visualization, spatial reasoning, and geometric modeling to solve problems

Construct geometric shapes up to 8 sides finding the number of sides and corners ( toothpicks, geoboards, dot paper)

Construct three dimensional shapes using a variety of materials (toothpicks, marshmallows, gumdrops, folded paper)