They measured liquid volume in milliliters mL using graduated cylinders and length in centimeters cm. They figured out the perimeters of rectangles and other polygons. Later they found the perimeter of the classroom using meter sticks. In arithmetic, the equal sign works like an equal-arm balance.

Math is built on true statements. Instead of asking for an object's weight, ask for the object's mass. I keep hearing that kids can't reason in the abstract until they are at least Likewise, operations are abstract. It makes you smarter.

1st Grade Math | Khan Academy

Traditional arithmetic primes a child's mind for higher math and problem-solving. Most students don't know what they should know. The deficit starts in 1st grade and climbs up the grades. The liberal ideology is that all students are equal and, therefore, should receive the same instruction. The assumption is flat wrong. The reality is that students vary widely in academic ability, motivation, persistence, achievement, creativity, musical talent, mathematical talent, athletic ability, writing ability, and so on. They may not be all equal, but most students can learn passable math skills.

Reform math , which dominates math instruction in our schools, is the wrong way to introduce students to basic arithmetic because it does not focus on the mastery of fundamentals such as the number facts and standard algorithms. In short, teachers teach students to take a test. Thus, the math curriculum is fragmented. Also, teachers may be certified by the state, but it doesn't mean they are qualified to teach arithmetic and algebra.

In fact, most K-8 teachers are weak in math and science. If you can't do it, then you don't know it. T he vertical format is a place value system. Start with problems that don't involve trading borrowing , such as 47 - 25, but use the vertical format. Borrowing shifts a ten back to the ones place, that is, one ten equals 10 ones. The 16 means 16 ones.

What number plus 9 is 16? It is a missing addend equation. Children can use memorized addition facts to do subtraction: It is important to relate subtraction to addition. Also, I use the idea of carry in addition and borrow in subtraction. Carry and borrow are action verbs and make better sense to novices.

Teach the Standard Algorithms, First! I used to think that teachers had little choice because the curriculum was reform math and the state test was mostly reform math. I think teachers can make incremental changes that would substantially boost the students' knowledge and skill in basic arithmetic by using a "fundamentals first" strategy.

The standard algorithm is the best model for place value.

First Grade (1st) Math Games

The standard algorithms are the only algorithms that need to be taught. So, where did all the extra algorithms, models, or strategies come from? The vertical standard algorthm for addition is easy to learn.


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Still, s tudents need to drill to develop skill. At first, use the number line. Teachers spend too much time on manipulatives. In my 1st-grade class early 80s , I put the centimeter cubes away after the first week. Students should also decomposed numbers by place value: The use of a number line or manipulatives should not displace the memorization of single-digit facts.

The algebra ideas in TKA require passable calculating skills. Indeed, w e teach math poorly.

Standards in this domain:

With rare exception, American 1st-graders learn substantially less than their East Asian peers and so on up the grades. Also, for decades, the fundamentals have not been learned for mastery.

It tells us that two calculations, which appear different, have the same answer. In the first week of school, students can learn the number line to show these equations are true. Math is not a matter of opinion; it is a matter of knowledge, that is, it is based only on true statements. Start at 10, the sum, and go back 3 to get 7.

Write on the board: The subtraction problem is a missing addend problem: Using a number line leads to the memorization of single-digit facts. Unfortunately, it is seldom used in today's reform math programs. The paper-pencil standard algorithms are the best tools for beginners to do basic arithmetic. Why Knowledge Matters points out. The standard algorithms are efficient and mechanical.

Moreover, to perform standard algorithms fluently requires the automatic recall of single-digit number facts. Telling Time - Walk the Plank Game. Addition Game- Fling the teacher game.

Staff picks

Statistics game for first graders, Mean - Median and Mode. Money - Price list for first graders. Number rearrangement Game- Arrange in order- walk the plank game.

Spatial sense and directions en garde game for first graders. Geometry Game- Fing the teacher game. Missing Number Game -Penalty shoot game. Subtraction Game 1 En gard duel game. Subtraction Game 1 - 10 - Fling the teacher game. Subtraction Game - Basketball game. Subtraction Game - Fling the teacher. Telling the time game - memory game. Number Spelling Game - Memory Game. Number Spelling Game - Walk the plank game. Find the value of 'y' addition memory game. Find the area of a circle - Memory game. Find the circumference of circles - Memory game Algebra with define value of 'y' or 'x' - 1.

Algebra exercise with define value of 'y' or 'x' - 2. Algebra exercise with define value of 'y' or 'x' - 3. Click here to start or continue working on the 1st grade Mission. Numbers 0 to Place value Ones and tens: Place value Comparing 2-digit numbers: Relate addition and subtraction: Addition and subtraction Addition within Addition and subtraction Subtraction within Addition and subtraction Equal sign: