Ravalli County Curriculum Consortium

Ravalli County Curriculum Consortium

Mathematics

K-8

Ravalli County Curriculum Consortium

Mathematics K-8

Mathematics Measurement Topics / K / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8

Strand: Numbers Sense and Operations

Numbers and Equivalent Representations / * / * / * / *
Counting / * / * / * / *
Addition/Subtraction / * / * / *
Multiplication/Division / * / * / * / * / * / *
Fractions, Decimals, Percents / * / * / * / * / * / * / * / *
Ratio and Proportion / * / * / *
Scientific Notation / * / * / *
Real Numbers / *
Place Value / * / * / * / * / * / * / * / *
Measurement Units / * / * / * / * / *
Time and Temperature / * / * / * / * / *

Strand: Algebraic and Functional Reasoning

Symbols and Expressions / * / * / * / * / * / * / * / * / *
Equations / * / * / * / * / * / * / * / *
Functions and Relationships / * / * / *
Linear and Non-Linear Equations / * / * / *
Inequalities / * / *
Patterns / * / * / * / * / * / * / * / * / *
Properties / * / * / *

Strand: Geometric Reasoning

Geometric Figures / * / * / * / * / * / * / * / * / *
Congruence and Symmetry / * / * / * / * / * / * / * / * / *
Transformations / * / * / * / * / * / * / *
Geometric Properties / * / * / * / * / * / * / * / * / *
Length, Area and Volume / * / * / * / * / * / * / * / * / *
Capacity and Weight / * / * / * / * / * / * / * / *

Strand: Data Analysis

Data Collection, Organization and Display / * / * / * / * / * / * / * / * / *
Analysis / * / * / * / * / * / * / * / * / *
Probability / * / * / * / * / * / * / * / *

K-2

Strand: Number Sense and Operations
Topic: Numbers and Equivalent Representations
Grade: Kindergarten
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

recognizes numbers from 0 -10 in random order.

The student exhibits no major errors or omissions. /

Students will state the names of random numbers given to them in various forms (e.g. counters, number cards).

2.5 / No major errors or omissions regarding 2.0 content and partial knowledge of the 3.0 content
Score 2.0 / There are no major errors or omissions regarding the simpler details and processes as the student:

recognizes numbers from 0 – 10, in numeric order.

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Given a prompt of a number line, students will state the name of a given number.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Numbers and Equivalent Representations
Grade: One
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

read, write (in standard form), compare and order numbers from 0 – 100
recognize ordinal positions first through tenth

The student exhibits no major errors or omissions. /

On a given number line (1-100), student follow verbal directions to place markers on appropriate number, to illustrate understanding of skills such as greater or less than, before and after and between.
Students form a physical line using ten students and are able to verbalize an indicated position.

2.5 / No major errors or omissions regarding 2.0 content and partial knowledge of the 3.0 content
Score 2.0 / There are no major errors or omissions regarding the simpler details and processes as the student:

identifies ordinal positions first through fifth
reads, writes, compares and order numbers from 0-50
recognizes or recalls basic terminology such as:ordinal position

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Given a picture with 5 objects, students can verbalize which object is in first, second, third position etc.

On a given number line (1-50), student follow verbal directions to place markers on appropriate number, to illustrate understanding of skills such as greater or less than, before and after and between.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Numbers and Equivalent Representations
Grade: Two
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

read, write, compare and order numbers 0 – 999
use ordinal position first through twentieth

The student exhibits no major errors or omissions. /

On a number line up to 999, circle one number and have students identify what number comes before, after and between the given number(s).
Students will be given a task of putting 20 objects in a row and writing the ordinal position under each.

reads, writes, compares and orders numbers 0-500
uses ordinal position first through twelfth
recognizes or recalls basic terminology such as:

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

On a number line up to 500, circle one number and have students identify what number comes before, after and between the given number(s).

Students will be given a task of putting 12 objects in a row and writing the ordinal position under each.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Counting
Grade: Kindergarten
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

count to 20 by demonstrating one-to-one correspondence using counters

The student exhibits no major errors or omissions. /

Verbally count to 20 while moving counters.

counts to 10 by demonstrating one-to-one correspondence using counters

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Verbally count to 10 while moving counters.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Counting
Grade: One
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

use number patterns and models to count by 2’s, 5’s, and 10’s to 100

The student exhibits no major errors or omissions. /

Verbally count to 100 by 2’s.

uses number patterns and models to count by 2’s, 5’s, and 10’s to 50
recognizes or recalls basic terminology such as:

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Verbally count to 50 by 5’s.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Counting
Grade: Two
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

Use number patterns and models to count by 3’s to 30 and 4;s to 40.

The student exhibits no major errors or omissions. /

Identify missing numbers on a number line.

Students will identify a number pattern when given a set of skip-counted-numbers. i.e. 4, 8, 12, 16.

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Given a set of numbers, students will identify the pattern.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Addition/Subtraction
Grade: One
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

add and subtract one- and two- digit numbers without regrouping
solve addition facts using addends 0, 1 and 2

The student exhibits no major errors or omissions. /

10 – 8 = ___
Recall 20 out of 40 facts in one minute (e.g., 0+1=1, 1+1=2, 2+2=4, etc.).

add and subtract one digit numbers without regrouping
solves addition facts using addends 0 and 1

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Circle the correct answer: 8 or 5

7 - ____ = 2

Recall 15 out of 40 facts in one minute (e.g.,

0+1=1, 1+1=2, etc.).
1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Addition/Subtraction
Grade: Two
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

add and subtract two and three digit numbers with and without regrouping
solve addition and subtraction facts using all addends

The student exhibits no major errors or omissions. /

Circle the correct answer: 28 or 34

23+_____=51

Recall 40 addition and subtraction facts in one minute.

add and subtract 2 digit numbers with or without regrouping
solves addition and subtraction facts using addends 3s, 4s and 5s
recognizes or recalls basic terminology such as:
addends, sums, difference.

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. / Solve 23+28+51

Recall 20 out of 40 addition and subtraction facts in one minute.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Fractions, Percents and Decimals
Grade: One
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

distinguish between a whole object and half an object.

The student exhibits no major errors or omissions. /

Given pictures of whole and part objects, ask the student to circle the whole objects and to place a square around the part objects.

Recognize the difference between the whole, and a part.
whole, part

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

When given a picture of a pie, the students will be able to determine if it is a whole pie, or a partially-eaten one.
Ask the student to produce or identify definitions to given terms.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Strand: Number Sense and Operations
Topic: Fractions, Percents and Decimals
Grade: Two
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

use the unit fractions1/2, 1/3, and ¼ as equal parts of a whole or sets of objects.

The student exhibits no major errors or omissions. /

Shade in ½, ¼ and 1/3 of a given shape.

Identifies the shaded area in a given shape.

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Students will match pictures of shaded areas with given fractions.

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Number Sense and Operations
Topic: Measurement Units
Grade: K
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

explain hours, inches, pounds and the situations in which each unit is appropriate

The student exhibits no major errors or omissions. /

Students will be able to match hours with time, inches with distance and pounds with weight and give examples of the best situations to use each measurement

recognizes examples of the situation in which hours, inches and pounds are used

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Students will match hours with time, inches with distance and pounds with weight when prompted by a teacher. I.E, “Which one of these would you measure a fish with? How would you measure how long until recess?”

1.5 / Partial knowledge of the 2.0 content but major errors or omissions regarding the 3.0 content
Score 1.0 / With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes.
0.5 / With help, a partial understanding of the 2.0 content but not the 3.0 content
Score 0.0 / Even with help, no understanding or skill demonstrated.
Number Sense and Operations
Topic: Measurement Units
Grade: 1
Score 4.0 / In addition to Score 3.0, in-depth inferences and applications that go beyond what was taught. / Sample Tasks
3.5 / In addition to score 3.0 performance, in-depth inferences and applications with partial success.
Score 3.0 / The student will:

use non-standard, standard and metric units (e.g., length (inches and centimeters), time and temperature)

The student exhibits no major errors or omissions. /

Students will be able to measure the length of a pencil in inches and centimeters.

recognizes a centimeter and inch on a ruler, a degree on a thermometer and tells time

However, the student exhibits major errors or omissions regarding the more complex ideas and processes. /

Students will recognize an inch on a ruler, low and high degree on a thermometer and tell time on an analog and digital clock.