WHOLE NUMBERS
· Represent/Identify place value to one million
· Write in standard form and expanded form
· Order # up to 6 digits
· Compare relative size of #s
· Locate on # line
· Identify a # between 2 numbers
ADDITION/SUBTRACTION
· Use mental math /calculators
· Select methods to solve a single operation
· Estimate computational results
· Use the commutative, associative, distributive, and identity properties
· Use order of operations with: 4 operations, parentheses, and symbols
MULTIPLICATON
· Quick recall of basic facts
· Use mental math/ calculators
· Estimate computational results
· Model “X” with: groups, arrays, area models, # lines
· Relate to division
· Multiply 2 digits by 2 digits
· Multiply 3 digit by 2 digit
· Use rectangular arrays to interpret factoring
· Represent square #s using models and symbols.
· Write a story/ # sentence to solve problem
· Use the commutative, associative, distributive, and identity properties
· Zero property multiplication
DIVISON
· Quick recall of basic facts
· Use mental math/ calculators
· Estimate computational results
· Relate to multiplication
· 3- digit divided by 1 digit with/without remainder
· Model/connect to division w/ arrays, manipulatives, pictures
· Write a story/ # sentence to solve problem / DECIMALS
· Order and compare
· Use models/symbols
· Place value to hundredths
· Round to the nearest tenth
· Use a number line
· Use < > =
· Identify a # between two #s
· Add and subtract
FRACTIONS/MIXED #
· Name and write a fraction: halves, thirds, fourths, fifths, sixths, eighths, and tenths
· Divide lengths and sets into equal parts
· Order/compare simple fractions
· Generate equivalent fractions
· Simplify fractions using models
· Using models to +/- simple fractions
ALGEBRA
· Analyze growing patterns using objects to determine a rule
· Extend simple patterns
· Identify relationships in real-life
· Use operations to describe a pattern
· Recognize that a symbol represents the same #
PROBABILITY
· Write results as a ratio
· Conduct simple probability experiments with/without replacement
· Display results in an organized way
· Describe the likelihood of an event
GRIDS AND MAPS
· Locate/give coordinates in the 1st quadrant
· Locate locations on map of Utah / GEOMETRY
· Lines: parallel, perpendicular, and intersecting
· Angles: right, acute, obtuse, and straight
· Identify 45, 60, 90, 120 degrees
· Identify radius and diameter
· Identify line and rotational symmetry
TRANSFORMATIONS
· Identify a translation, rotation, and reflection
· Recognize 90, 180, 270, and 360 degrees are = ¼, ½, ¾, and full turns
MEASUREMENT
· Describe relative size of metric/customary units of length, weight, and capacity
· Estimate and measure capacity: milliliters, liters, cups, pints, quarts, and gallons
· Measure weight using grams and kilograms
AREA
· Find the area of a shape
· Develop/compare area formula for a right triangle with formula for a rectangle
· Determine perimeters for a rectangle with fixed area
· Determine areas for a rectangle with fixed perimeter
STATISTICS/DATA COLLECTIONS
· Identify a question that can be answered by data
· Collect, read, and interpret data from tables, graphs, charts, surveys, and observations
· Represent data using frequency tables, bar graphs, lines, and stem and leaf plots
· Identify clusters and outliers of a data set
EXPLORATORY CONCEPTS & SKILLS
Standard I
· Use concrete objects and visual models to add and subtract common decimals
· Explore numbers less than zero by extending the number line and by using familiar applications such as temperature
· Investigate the concept of ratio
Standard II
· Use concrete materials to build an understanding of equality and inequality
· Explore properties of equality in number sentences
Standard III
· Analyze results of transformations on two-dimensional shapes
· Investigate two-dimensional representations of three-dimensional objects
Standard IV
· Explore the minimum and maximum values for a set of data
· Explore mean, median, mode, and range
Standard V
· Investigate perimeter of rectangles and squares
· Investigate area of trapezoids
ESSENTIAL VOCABULARY
Operations
sum
difference
square number
dividend
divisor
quotient
factor
product
array
order of
operations
parentheses
probability
Properties
Associative
Distributive
Zero Property of
Multiplication
Place Value
Expanded form
Standard form
Comparisons
Equivalent
Estimate
< > = ≠
Algebra
Growing pattern
Inequality
Expression
Equation
Geometry
Parallel
Perpendicular
Intersecting lines
Right angle
Acute angle
Obtuse angle
Straight angle
Circle
Radius
Diameter
Line symmetry
Rotational symmetry
Degree
Graphing
Coordinate
First quadrant
Fractions
multiple
numerator
denominator
sixths
eighths
tenths
Transformations
Rotate
Reflect
Transformation
Data Collection
Data
Line plot
Line graph
Bar graph
Stem leaf plot
Cluster
Outlier
Frequency table