# Access Mathematics Grade 1   (#7712020)

## General Course Information and Notes

### General Notes

Access courses are intended only for students with a significant cognitive disability. Access courses are designed to provide students with access to the general curriculum. Access points reflect increasing levels of complexity and depth of knowledge aligned with grade-level expectations. The access points included in access courses are intentionally designed to foster high expectations for students with significant cognitive disabilities.

Access points in the subject areas of science, social studies, art, dance, physical education, theatre, and health provide tiered access to the general curriculum through three levels of access points (Participatory, Supported, and Independent). Access points in English language arts and mathematics do not contain these tiers, but contain Essential Understandings (or EUs). EUs consist of skills at varying levels of complexity and are a resource when planning for instruction.

The study of mathematics provides the means to organize, understand, and predict life’s events in quantifiable terms. Organizing life using numbers allows us to keep accurate records of objects and events, such as quantity, sequence, time, and money. Using numbers to understand the relationship between relative quantities or characteristics allows us to accurately problem solve and predict future outcomes of quantifiable events as conditions change. Many of life’s typical activities require competency in using numbers, operations, and algebraic thinking (e.g., counting, measuring, comparison shopping), geometric principles (e.g., shapes, area, volume), and data analysis (e.g., organizing information to suggest conclusions). Some students with significant cognitive disabilities will access and use traditional mathematical symbols and abstractions, while others may apply numeric principles using concrete materials in real-life activities. In any case, mathematics is one of the most useful skill sets and essential for students with significant cognitive disabilities. It provides a means to organize life and solve problems involving quantity and patterns, making life more orderly and predictable.

The purpose of this course is to provide students with significant cognitive disabilities access to the concepts and content of mathematics at the first grade level. The foundational concepts of joining and separating quantities, patterns, shapes, and measures provide a means to organize our environment and predict outcomes of quantifiable events. The content should include, but not be limited to, the concepts of:

• Whole numbers
• Combining and separating quantities
• Patterns
• Plane and solid figures
• Measurement
• Solving routine and non-routine quantitative problems

English Language Development ELD Standards Special Notes Section:

Teachers are required to provide listening, speaking, reading and writing instruction that allows English language learners (ELL) to communicate information, ideas and concepts for academic success in the content area of Mathematics. For the given level of English language proficiency and with visual, graphic, or interactive support, students will interact with grade level words, expressions, sentences and discourse to process or produce language necessary for academic success. The ELD standard should specify a relevant content area concept or topic of study chosen by curriculum developers and teachers which maximizes an ELL’s need for communication and social skills. To access an ELL supporting document which delineates performance definitions and descriptors, please click on the following link:  https://cpalmsmediaprod.blob.core.windows.net/uploads/docs/standards/eld/ma.pdf.

### General Information

Course Number: 7712020
Course Path:
Abbreviated Title: ACCESS MATH GRADE 1
Course Length: Year (Y)
Course Attributes:
• Class Size Core Required
Course Status: Course Approved

## Educator Certifications

One of these educator certification options is required to teach this course.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this course.

## Original Student Tutorials

Let's Make A Dollar:

Learn how many quarters, nickels, dimes and pennies are needed to make a dollar with this interactive tutorial.

This is part 5 of 5. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Let's Add Money: Place Value (Part 4):

Use place value and a tens and ones chart to add pennies, nickels, dimes, quarters in this interactive tutorial.

This is part 4 of 5. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Let’s Add Money: Mixed Coins (Part 3):

Learn to add a combination of coins, such as quarters, dimes, nickels, and pennies using a number line, skip counting, and a hundred chart in this interactive tutorial.

This interactive tutorial is part 3 of 5. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Let’s Add Money: Using Similar Coins (Part 2):

Learn how to add the same type of coins together using skip counting and a number line in this interactive student tutorial.

This is part 2 of 5. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Let's Talk About Money (Part 1):

Help Kolby learn to identify coins by their characteristics and values in this interactive tutorial.

This is part 1 of 5. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Shape Sleuths: Trapezoids:

Learn about the defining attributes of trapezoids in this interactive tutorial series about shapes.

Click below to learn about other shapes.

Note: This tutorial uses the definition of trapezoid that includes exactly one pair of parallel sides.

Type: Original Student Tutorial

Shape Sleuths: Rectangles and Squares:

Help find clues to identify rectangles and squares and their defining attributes in this interactive tutorial.

Type: Original Student Tutorial

Circus Fun: The Search for Circles:

Learn the attributes, or characteristics, of a circle in this interactive tutorial.

Type: Original Student Tutorial

Ten More, Ten Less:

Explore strategies to add or subtract ten from a two-digit number in this interactive tutorial.

Type: Original Student Tutorial

Change the order of the numbers in an addition sentence and use the counting on strategy to become quicker at your math facts in this interactive tutorial.

Type: Original Student Tutorial

Shape Sleuths: Hexagons:

Learn about the defining attributes of hexagons in this interactive tutorial series about shapes.

Click below to learn about other shapes.

Type: Original Student Tutorial

Shape Sleuths: Triangles:

Learn about the defining attributes of triangles in this interactive tutorial series about shapes.

Click below to learn about other shapes.

Type: Original Student Tutorial

Teams with the Same Amount:

Learn how to tell whether an equation is true or false based on what you know about the equal sign as you complete this interactive tutorial.

Type: Original Student Tutorial

What's the Weather?:

Learn how to organize data in three categories as well as represent and interpret the data in this interactive tutorial.

Type: Original Student Tutorial

Equal Shares Heroes Find Fourths:

Be a hero and partition circles and rectangles into four equal shares. Describe equal shares using the words "fourths" and "quarters" in this interactive tutorial.

Type: Original Student Tutorial

Hickory Dickory Dock:

Learn to tell time to the hour on an analog clock and a digital clock as you complete this interactive tutorial.

Type: Original Student Tutorial

Filling in a 120 Chart!:

Learn how to count to 120 and fill in the missing number on a chart to 120 in this interactive tutorial.

Type: Original Student Tutorial

Equal Shares Heroes:

Help the heroes separate circles and rectangles into equal shares and describe the equal shares as "halves" or "half of" as you complete this interactive tutorial.

Type: Original Student Tutorial

Zoo School:

Explore the zoo and learn how to order and compare objects by length and height in this interactive tutorial.

Type: Original Student Tutorial

## Educational Games

Jetstream Riders:A high flying Addition Game:

Fly high in a hot air balloon and catch the jet stream to go faster! Use addition to add hot air, and see if you can win against other students!

This is a single level basic version. Teachers can register for additional levels for practicing subtraction, multipiication and division.

Type: Educational Game

Underwater Subtraction:

Dive deep with this fun subtraction facts game. Correctly answer the math facts and capture pictures of sea creatures! Choose to focus on one fact family or practice them all!

Type: Educational Game

## Educational Software / Tools

Grouping and Grazing:

This interactive Flash applet helps children learn grouping, tally marks, place value, addition, and subtraction. Students help the alien spaceship move cows into corrals by counting by 5s and 10s. They also can apply those grouping skills to practice adding and subtracting two-digit numbers with regrouping. Audio cues and prompts reinforce the user's actions and facilitate counting and the development of math language.

Type: Educational Software / Tool

Hundreds Chart:

A printable hundreds chart featuring a 10x10 table numbered 1 to 100. (found on Illuminations website under "Trading for Quarters")

Type: Educational Software / Tool

## Presentation/Slideshow

What Time Is It? - Tarheel Reader Powerpoint Story:

"What Time Is It?" is a slideshow story that illustrates the activities in a student's day.

Type: Presentation/Slideshow

Equality Number Sentences:

The purpose of this instructional task is for students to help students understand the meaning of the equal sign and to use it appropriately. The idea is that students should be comparing the number of circles in each of the rectangles and to write an equation that reflects the fact there are an equal number in each of the boxes (when this is the case).

Finding a Chair:

These problems explicitly describe one-to-one correspondences without using comparison language. Such problems are easier for students to solve than problems that use comparison language such as "How many more?" or "How many fewer."

Overlapping Rectangles:

The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment.

Measure Me!:

The purpose of this task is for students to measure something that interests them (namely themselves) by laying multiple copies of a shorter object that represents the length unit end to end. This task provides students an opportunity to discuss the need to be careful when measuring as it is very likely that some of them will get incorrect comparisons of their leg length with their partner's leg length.

How Long:

The purpose of this task is to help students learn how to take measurements.

Ordering Numbers:

The purpose of this task is to give students an opportunity to compare numbers less than 100 to benchmark numbers. Even though a number line is not explicitly given in the task, it is useful for students to list the numbers in the order they would appear on the number line; this allows them to focus on the relative ordering without worrying about the exact placement on the number line.

Daisies in vases:

This instructional task asks students to consider all the decompositions of a number into two addends. Because first grade students may have trouble reading this task even thought they are intellectual capable of working on this problem, it will help if the teacher reads the prompt to the students and then has them work together in pairs or small groups.

Boys and Girls, Variation 2:

This task represents the Put Together/Take Apart with both addends unknown context for addition and subtraction. Once a student finds one correct answer, he/she can be encouraged to find another. Ask the student to use objects, pictures, or equations to represent each answer.

Boys and Girls, Variation 1:

Students may use either addition or subtraction to solve these types of word problems, with addition related to the action of putting together and subtraction related to the action of taking apart. Depending on how students think about these word problems, either is appropriate for the "addend unknown" problems. Seeing it both ways emphasizes the relationship between addition and subtraction.

At the Park:

This task includes three different problem types using the "Add To" context with a discrete quantity.

Find the Missing Number:

This task asks students to solve addition and subtraction equations with different structures so that they are able to see the connections between addition and subtraction more easily. Examples should be presented with the the sum or difference on either side of the equal sign in order to dispel the notion that = means "compute."

Maria’s Marbles:

Students benefit from encountering one problem type limited to small numbers and to develop strategies for that type of problem before encountering mixed sets of problems and larger numbers that distract the student from the problem itself. Over time they will be able to distinguish between types of problems in mixed sets and apply the appropriate strategy to solve each.

Valid Equalities?:

The purpose of this task is to help broaden and deepen students' understanding of the equals sign and equality. This task helps students attend to precision (as in Standard for Mathematical Practice 6) by helping them explicitly attend to the meaning of mathematical notation and carefully analyze whether it is being used correctly.

The Pet Snake:

The purpose of this task is for students to gain a better understanding of measurements with the example being the growth of a pet snake.

School Supplies:

This task could be used for either instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them. The solution shown is very terse; students' solution strategies are likely to be much more varied.

Sharing Markers:

These task types represent the Take From contexts for addition and subtraction. This task includes the three different problem types using the Take From context: result unknown, change unknown, and start unknown. Students need experience and practice with all three types.

Counting Squares:

The purpose of this task is to give students an opportunity to compose and decompose squares. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment. However, if presented as a brainteaser it can be useful for giving the students practice in recognizing squares and stimulate interest as students compete to try to find the most squares.

## Tutorials

Adding 5 + 3 + 6:

Learn how to add 5 + 3 + 6.

Type: Tutorial

Learn how to add 8 + 7 by making a group of ten.

Type: Tutorial

Place Value Example with 25:

In this tutorial, you will learn to see 25 as 2 tens and 5 ones.

Type: Tutorial

Adding 7 + 6 Using a Number Line and Objects to Count:

In this tutorial, you will learn how to add 7 + 6 using a number line and objects to count.

Type: Tutorial

In this tutorial video from Khan Academy, explore adding two-digits numbers with base ten blocks and connect this to the standard algorithm. The examples do not include regrouping.

Type: Tutorial

Adding by getting to group of 10 first:

In this tutorial video from Khan Academy, explore how making a ten can help to make thinking about addition easier. This video includes an example of adding a one-digit number to a two-digit number by decomposing the one-digit number.

Type: Tutorial

Understanding place value when subtracting tens:

In this video tutorial from Khan Academy, explore the connection between place value and subtraction. This video explains how to solve a subtraction problem with numbers less than one hundred using base ten blocks.

Type: Tutorial

Understanding place value while subtracting ones:

Learn how to subtract 4 from 46 by thinking about place value.

Type: Tutorial

Understanding place value while adding tens:

Learn how to add 23 + 30 by thinking about place value.

Type: Tutorial

Exercising gorillas:

In this tutorial video from Khan Academy, a word problem is solved with unit cubes, as well as with a missing addend addition equation and a subtraction equation.

Type: Tutorial

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Type: Tutorial

Making Ten on a Ten Frame and Using Equations and Symbols:

Type: Tutorial

Making Five on a Five Frame and Using Equations and Symbols:

Using a five-frame as a model, you will learn how to use equations to join two addends, to make 5.

Type: Tutorial

Teens as sums with 10:

In this tutorial video from Khan Academy, place value patterns are explored in "teen" numbers.

Type: Tutorial

Result Unknown - Subtraction Word Problem Within 10:

In this tutorial, you will learn how to solve a result unknown word problems: 10 - 2 = ?.

Type: Tutorial

Change Unknown - 3 + ? = 10:

In this tutorial, you will learn to find the unknown change in an equation with a sum of 10: 3 + ? = 10.

Type: Tutorial

Subtraction - Using Equations and Symbols to Find an Unknown:

In this tutorial, you will learn to use symbols to record an unknown whole number in a subtraction equation relating to three whole numbers.

Type: Tutorial

Addition - Using Equations and Symbols to Find an Unknown:

In this tutorial, you will learn to use symbols to record an unknown whole number in an addition equation relating to three whole numbers.

Type: Tutorial

Number Patterns on a 0-99 Chart:

In this video on using a chart to count numbers 0 to 99, you will start to see patterns in the numbers in each row and the numbers in each column.

Type: Tutorial

## Video/Audio/Animation

Candy Shipping:

Choose the correct amount of candy to package in the box. The truck will deliver the correctly filled packages.

Type: Video/Audio/Animation

## Virtual Manipulatives

Time Memory:

This interesting game will help the learners to test their memory and the clock skills. The learners will have to match the time on the two cards which they will flip during the game. Each match will include a digital clock and one analog clock.

Type: Virtual Manipulative

Data Grapher:

Students use this interactive tool to explore the connections between data sets and their representations in charts and graphs. Enter data in a table (1 to 6 columns, unlimited rows), and preview or print bar graphs, line graphs, pie charts, and pictographs. Students can select which set(s) of data to display in each graph, and compare the effects of different representations of the same data. Instructions and exploration questions are provided using the expandable "+" signs above the tool.

Type: Virtual Manipulative

Pan Balance - Numbers:

This tool helps students better understand that equality is a relationship and not an operational command to "find the answer." The applet features a pan balance that allows the student to input each half of an equation in the pans, which responds to the numerical expression's value by raising, lowering or balancing.

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.

Type: Virtual Manipulative

Histogram:

In this activity, students can create and view a histogram using existing data sets or original data entered. Students can adjust the interval size using a slider bar, and they can also adjust the other scales on the graph. This activity allows students to explore histograms as a way to represent data as well as the concepts of mean, standard deviation, and scale. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Virtual Manipulative

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this course.