Numbers and Operations in Base Ten Apps

 

 

App Name: Number Pieces Basic

Cost: Free

Device(s): iPad and the Web

Appropriate Grade(s): 1st – 5th

Content: Base Ten

Common Core Standards:

MACC.1.NBT.2.2 - Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:

• 10 can be thought of as a bundle of ten ones — called a “ten.”

• The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.

The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

MACC.1.NBT.2.3 - Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.

MACC.1.NBT.3.4 - Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

MACC.2.NBT.1.1 - Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

• 100 can be thought of as a bundle of ten tens — called a “hundred.”

The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

MACC.2.NBT.1.4 - Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

MACC.2.NBT.2.5 - Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

MACC.2.NBT.2.6 -Add up to four two-digit numbers using strategies based on place value and properties of operations.

MACC.2.NBT.2.7 - Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

MACC.3.NBT.1.2 - Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

MACC.4.NBT.2.6 - Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

MACC.5.NBT.1.1 - Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

MACC.5.NBT.2.6 - Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

 

Description: Number Pieces Basic is a virtual app that uses base ten manipulatives to push 1st – 5th grade students to a deeper level of critical thinking as they solve a variety of different problems with multi-digit numbers. As students work with this app, they are able to change the color of the base ten blocks, as well as add, subtract and regroup blocks. More importantly this app fosters autonomy in that it allows students to label their representations and demonstrate their understanding. 

 

 

 

 

App Name: Splash Math

Cost: Free (Lite Version) / $9.99 (Full App)

Device(s): iPad, iPhone, and iPod Touch

Appropriate Grade(s): specified focus - 3rd (However, this app is suitable for all grade levels)

Content: Place Value and Properties of Operations

Common Core State Standards:

MACC.3.NBT.1 - Use place value understanding to round whole numbers to the nearest 10 or 100.

MACC.3.NBT.2 - Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

MACC.3.NBT.3 - Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

 

Description: Splash Math is a holistic app that provides students with fun and engaging games for every grade level and common core state standard. With specific focus to 3rd grade, this app gives students the opportunity to gain understanding of place value through activities focused on regrouping. Students are also able to build their competency of multi-digit arithmetic through use of property of operations.