| Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships. |
| Patterns and Functions
|
| |
Identify, describe, extend, and create numeric patterns |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Represent and analyze numeric patterns using skip counting by multiples of 2 and 10 starting with any whole number, and using manipulatives and the 100 chart
|
|
|
|
|
|
|
Represent and analyze numeric patterns using skip counting backward by 10s starting with a multiple of 10, and using manipulatives
|
|
|
|
|
|
|
|
| |
Identify, copy, describe, create and extend non-numeric patterns |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Represent and analyze growing patterns kinesthetically such as: clap/snap, clap/snap/snap, clap/snap/snap/snap, ...
|
|
|
|
|
|
|
Represent and analyze repeating patterns using no more than 3 different objects in the core of the pattern
|
|
|
|
|
|
|
Transfer a repeating pattern from one medium to a different medium using no more than 3 different objects in the core of the pattern
|
|
|
|
|
|
|
Identify patterns in real-world situations
|
|
|
|
|
|
|
|
| Expressions, Equations, and Inequalities
|
| |
Write and identify expressions |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Represent numeric quantities using concrete and pictorial representations and operational symbols (+, -) with whole numbers to 20
|
|
|
|
|
|
|
|
| |
Identify, write, and solve equations and inequalities |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Represent relationships using the terms greater than, less than, and equal to for quantities up to 100
|
|
|
|
|
|
|
Find the missing number (unknown) in a number sentence using operational symbols (+, -) with whole numbers to 20 using pictures and manipulatives
|
|
|
|
|
|
|
|
| Numeric and Graphic Representations of Relationships
|
| |
Locate points on a number line |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Identify and represent whole numbers up to 50 on a number line using manipulatives and symbols
|
|
|
|
|
|
|
|
| Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. |
| Plane Geometric Figures
|
| |
Recognize and apply the properties/attributes of plane geometric figures |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Identify, name, and compare triangles, circles, squares, rectangles, and rhombi by their attributes
|
|
|
|
|
|
|
Create models of triangles, circles, squares, and rectangles with varied materials
|
|
|
|
|
|
|
Combine and subdivide squares and triangles
|
|
|
|
|
|
|
|
| Solid Geometric Figures
|
| |
Recognize and use the attributes of solid geometric figures |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Identify and compare cubes, spheres, cylinders, pyramids, cones, and rectangular prisms
|
|
|
|
|
|
|
|
| Representation of Geometric Figures
|
| |
Represent plane geometric figures |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Sketch triangles, circles, squares, rectangles, and rhombi
|
|
|
|
|
|
|
|
| Congruence
|
| |
Identify congruent figures |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Match congruent figures
|
|
|
|
|
|
|
|
| Transformations
|
| |
Recognize a transformation |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Use the direction, location, and position words right and left
|
|
|
|
|
|
|
Apply spatial reasoning in activities such as: pattern block
|
|
|
|
|
|
|
Identify and demonstrate slides and flips using manipulatives
|
|
|
|
|
|
|
|
| |
Analyze geometric figures and pictures |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Demonstrate symmetry in basic shapes and pictures by paper folding and drawing a line of symmetry
|
|
|
|
|
|
|
|
| Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements. |
| Measurement Units
|
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Read a calendar to identify days of the week and months of the year
|
|
|
|
|
|
|
Tell time in intervals of hours and half-hours using an analog clock
|
|
|
|
|
|
|
Compare the same time on analog and digital clocks
|
|
|
|
|
|
|
Read a thermometer to tell temperature to the nearest 10° F
|
|
|
|
|
|
|
Compare and order objects by weight in pounds using a spring scale and a bathroom scale
|
|
|
|
|
|
|
|
| Measurement Tools
|
| |
Measure in customary units |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Measure length of objects and pictures of objects to the nearest inch using a ruler
|
|
|
|
|
|
|
Identify and compare units of capacity using cups and gallons
|
|
|
|
|
|
|
Compare and order objects by weight in pounds using a spring scale and a bathroom scale
|
|
|
|
|
|
|
Describe the attributes of length, weight, and capacity
|
|
|
|
|
|
|
|
| Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions. |
| Data Displays
|
| |
Collect, organize, and display data |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Collect data by conducting surveys
|
|
|
|
|
|
|
Collect data on tally charts
|
|
|
|
|
|
|
Organize and display data to make picture graphs
|
|
|
|
|
|
|
Organize and display data to make single bar graphs
|
|
|
|
|
|
|
|
| Data Analysis
|
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Interpret data contained in tables
|
|
|
|
|
|
|
Interpret data contained in picture graphs using a variety of categories with 1:1 intervals
|
|
|
|
|
|
|
Interpret data contained in single bar graphs
|
|
|
|
|
|
|
|
| Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. |
| Knowledge of Number and Place Value
|
| |
Apply knowledge of whole numbers and place value |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Use concrete materials to compose and decompose quantities up to 20
|
|
|
|
|
|
|
Identify multiple representations for a number, such as: 12, 6 + 6, dozen
|
|
|
|
|
|
|
Demonstrate instant recognition of quantities in patterned sets
|
|
|
|
|
|
|
Use the numbers of 5 and 10 as anchors in relationship to other numbers
|
|
|
|
|
|
|
Read, write, and represent whole numbers up to 100 and beyond using models, symbols, and words
|
|
|
|
|
|
|
Express whole numbers up to 99 using expanded form
|
|
|
|
|
|
|
Identify the place value of a digit in a whole number up to 99
|
|
|
|
|
|
|
Compare and order whole numbers up to 99 using terms such as: greater than, less than, equal to
|
|
|
|
|
|
|
Estimate quantities up to 50 and use the term "about"
|
|
|
|
|
|
|
Count to 100
|
|
|
|
|
|
|
Count forward and backward starting with numbers other than one
|
|
|
|
|
|
|
Use ordinal numbers to indicate position: first through tenth
|
|
|
|
|
|
|
|
| |
Apply knowledge of fractions |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Read, write, and represent fractions as parts of a single region using symbols and models with denominators of 2 or 4
|
|
|
|
|
|
|
Read, write, and represent halves as parts of a set using pictures and models
|
|
|
|
|
|
|
|
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Determine the value of a given set of mixed currency up to $1
|
|
|
|
|
|
|
Demonstrate monetary value using real or play coins
|
|
|
|
|
|
|
Compare the value of 2 sets of same currency up to $1.00
|
|
|
|
|
|
|
|
| Number Computation
|
| |
Analyze number relations and compute |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Develop strategies for addition and subtraction basic facts such as: counting on, counting back, making ten, doubles, and doubles plus one
|
|
|
|
|
|
|
Solve a given word problem based on addition or subtraction situation
|
|
|
|
|
|
|
Identify the concept of inverse operation to addition and subtraction
|
|
|
|
|
|
|
|
| Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings. |
| Problem Solving
|
| |
Apply a variety of concepts, processes, and skills to solve problems |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Identify the question in the problem
|
|
|
|
|
|
|
Decide if enough information is present to solve the problem
|
|
|
|
|
|
|
Make a plan to solve a problem
|
|
|
|
|
|
|
Apply a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
|
|
|
|
|
|
|
Select a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
|
|
|
|
|
|
|
Identify alternative ways to solve a problem
|
|
|
|
|
|
|
Show that a problem might have multiple solutions or no solution
|
|
|
|
|
|
|
Extend the solution of a problem to a new problem situation
|
|
|
|
|
|
|
|
| Reasoning
|
| |
Justify ideas or solutions with mathematical concepts or proofs |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Use inductive or deductive reasoning
|
|
|
|
|
|
|
Make or test generalizations
|
|
|
|
|
|
|
Support or refute mathematical statements or solutions
|
|
|
|
|
|
|
Use methods of proof, i.e., direct, indirect, paragraph, or contradiction
|
|
|
|
|
|
|
|
| Communication
|
| |
Present mathematical ideas using words, symbols, visual displays, or technology |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Use multiple representations to express concepts or solutions
|
|
|
|
|
|
|
Express mathematical ideas orally
|
|
|
|
|
|
|
Explain mathematically ideas in written form
|
|
|
|
|
|
|
Express solutions using concrete materials
|
|
|
|
|
|
|
Express solutions using pictorial, tabular, graphical, or algebraic methods
|
|
|
|
|
|
|
Explain solutions in written form
|
|
|
|
|
|
|
Ask questions about mathematical ideas or problems
|
|
|
|
|
|
|
Give or use feedback to revise mathematical thinking
|
|
|
|
|
|
|
|
| Connections
|
| |
Relate or apply mathematics within the discipline, to other disciplines, and to life |
|
| Objective(s) |
Date/ Level |
Comments |
Date/ Level |
Comments |
Date/ Level |
Comments |
Identify mathematical concepts in relationship to other mathematical concepts
|
|
|
|
|
|
|
Identify mathematical concepts in relationship to other disciplines
|
|
|
|
|
|
|
Identify mathematical concepts in relationship to life
|
|
|
|
|
|
|
Use the relationship among mathematical concepts to learn other mathematical concepts
|
|
|
|
|
|
|
|